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diff --git a/configuration/bibliographie-livre.bib b/configuration/bibliographie-livre.bib new file mode 100644 index 0000000..153592a --- /dev/null +++ b/configuration/bibliographie-livre.bib @@ -0,0 +1,820 @@ +@Book{Elements@Bourbaki, +AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique}, + PUBLISHER = {Springer}, + NOTE = {réimpression des dernières éditions Masson}, + YEAR = {2007}, +} + +@Book{TG@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique. Topologie générale}, +} + +@book{AC10@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {{É}léments de mathématique. {A}lgèbre commutative, chapitre 10}, + NOTE = {réimpression de l'original de 1998}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {2007}, + PAGES = {ii+187}, + ISBN = {978-3-540-34394-3; 3-540-34394-6}, +} + +@book{A10@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 10. + {A}lg\`ebre homologique}, + NOTE = {réimpression de l'original de 1980}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {2007}, + PAGES = {viii+216}, + ISBN = {978-3-540-34492-6; 3-540-34492-6}, +} + +@book{A9@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre, chapitre 9}, + NOTE = {réimpression de l'original de 1959}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {2007}, + PAGES = {211}, + ISBN = {978-3-540-35338-6; 3-540-35338-0}, +} + +@book{AC8-9@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre commutative, chapitres 8 et 9}, + NOTE = {réimpression de l'original de 1983}, + PUBLISHER = {Springer}, + ADDRESS = {Berlin}, + YEAR = {2006}, + PAGES = {ii+200}, + ISBN = {978-3-540-33942-7; 3-540-33942-6}, +} + +@Book{A4-7@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique, Alg\`ebre, chapitres 4 à 7}, + PUBLISHER = {Masson}, + ADDRESS = {Paris}, + YEAR = {1981}, + PAGES = {vii+422}, +} + +@book{AC5-7@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique}, + NOTE = {Alg\`ebre commutative, chapitres 5 à 7}, + PUBLISHER = {Masson}, + ADDRESS = {Paris}, + YEAR = {1985}, + PAGES = {351}, +} +@book{AC8-9@Bourbaki, + AUTHOR = {Bourbaki, Nicolas}, + TITLE = {\'{E}l\'ements de math\'ematique}, + NOTE = {Alg\`ebre commutative, chapitres 8 et 9}, + PUBLISHER = {Masson}, + ADDRESS = {Paris}, + YEAR = {1983}, + PAGES = {200}, +} + +@book{First@Lam, + AUTHOR = {Lam, T. Y.}, + TITLE = {A first course in noncommutative rings}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {131}, + NOTE = {seconde édition}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {2001}, + PAGES = {xx+385}, + ISBN = {0-387-95183-0}, +} + +@article{determinants@Cayley, +AUTHOR = {Cayley, Arthur}, +TITLE = {Sur quelques propriétés des déterminants gauches}, +YEAR = {1846}, +JOURNAL = {J. reine angew. Math.}, +VOLUME = {32},} + +@BOOK{seisuuron@Saito, +AUTHOR = {Sa{\"i}t{\^o}, Sh{\^u}ji}, +TITLE = {\jap{整数論}}, +YEAR = {1997}, +ADDRESS = {Tôkyô}, +PUBLISHER = {\jap{共立出版}},} + +@article{Problema@Euler, +AUTHOR = {Euler, Leonhard}, +TITLE = {Problema algebraicum ob affectiones prorsus +singulares memorabile}, +JOURNAL = {Novi Commentarii academiae scientiarum +Petropolitanae}, +NOTE = {dans \cite{Operaomnia-I6@Euler}}, +YEAR = {1771}, +PAGES = {75-106}, +VOLUME = {15},} + +@book{Operaomnia-I6@Euler, +author="Euler, Leonhard", +title="{Opera omnia. Series I: Opera mathematica. VI: +Commentationes algebraicae ad theoriam aequationum pertinentes. Ediderunt F. Rudio, +A. Krazer, P. Stäckel.}", +language="Latin", +publisher={Teubner}, +address = {Leipzig}, +pages = {xx+509}, +year="1921", +} + +@book{BNT@Weil, + AUTHOR = {Weil, André}, + TITLE = {Basic number theory}, + EDITION = {troisième}, + NOTE = {Die Grundlehren der Mathematischen Wissenschaften, Band 144}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1974}, + PAGES = {xviii+325}, +} + +@article{Zahlbericht@Hilbert, +author={Hilbert, David}, +title={Die {T}heorie der algebraischen {Z}ahlkörper}, +journal={Deutsche Math. Ver.}, +volume={4, I-XVIII}, +pages={175-546}, +year={1897},} + + + +@article {ZSG@Speiser, + AUTHOR = {Speiser, A.}, + TITLE = {Zahlentheoretische {S}ätze aus der {G}ruppentheorie}, + JOURNAL = {Math. Zeit.}, + FJOURNAL = {Mathematische Zeitschrift}, + VOLUME = {5}, + YEAR = {1919}, + NUMBER = {1-2}, + PAGES = {1--6}, + ISSN = {0025-5874}, + DOI = {10.1007/BF01203150}, + URL = {http://dx.doi.org/10.1007/BF01203150}, +} + +@article{Konstruktion@Witt, +author="Witt, Ernst", +title="{Konstruktion von galoisschen Körpern der +Charakteristik $p$ zu vorgegebener Gruppe der Ordnung $p^f$.}", +journal="J. reine angew. Math.", +note={№20 in \cite{Oeuvres@Witt}}, +volume="174", +pages="237-245", +year="1936", +} + +@book{Generic@JLY, + AUTHOR = {Jensen, Christian U. and Ledet, Arne and Yui, Noriko}, + TITLE = {Generic polynomials}, + SERIES = {Mathematical Sciences Research Institute Publications}, + VOLUME = {45}, + NOTE = {Constructive aspects of the inverse Galois problem}, + PUBLISHER = {Cambridge University Press}, + ADDRESS = {Cambridge}, + YEAR = {2002}, + PAGES = {x+258}, + ISBN = {0-521-81998-9}, +} + +@book{Oeuvres@Witt, + AUTHOR = {Witt, Ernst}, + TITLE = {{G}esammelte {A}bhandlungen ({Œ}uvres)}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {1998}, + PAGES = {xvi+420}, + ISBN = {3-540-57061-6}, +} + +@article{unendlichen@Krull, + AUTHOR = {Krull, Wolfgang}, + TITLE = {Galoissche {T}heorie der unendlichen +algebraischen {E}rweiterungen}, + JOURNAL = {Math. Ann.}, + FJOURNAL = {Mathematische Annalen}, + VOLUME = {100}, + YEAR = {1928}, + NUMBER = {1}, + PAGES = {687--698}, + ISSN = {0025-5831}, +} + +@book{Involutions@KMRT, + AUTHOR = {Knus, Max-Albert and Merkurjev, Alexander and Rost, Markus and + Tignol, Jean-Pierre}, + TITLE = {The book of involutions}, + SERIES = {American Mathematical Society Colloquium Publications}, + VOLUME = {44}, + PUBLISHER = {American Mathematical Society}, + ADDRESS = {Providence, RI}, + YEAR = {1998}, + PAGES = {xxii+593}, + ISBN = {0-8218-0904-0}, +} + +@article{Pisot@Siegel, + AUTHOR = {Siegel, Carl Ludwig}, + TITLE = {Algebraic integers whose conjugates lie in the +unit circle}, + JOURNAL = {Duke Math. J.}, + FJOURNAL = {Duke Mathematical Journal}, + VOLUME = {11}, + YEAR = {1944}, + PAGES = {597--602}, + ISSN = {0012-7094}, +} + +@incollection{Isomorphism@Poonen, + AUTHOR = {Poonen, Bjorn}, + TITLE = {Isomorphism types of commutative algebras of +finite rank over an algebraically closed field}, + BOOKTITLE = {Computational arithmetic geometry}, + SERIES = {Contemp. Math.}, + VOLUME = {463}, + PAGES = {111--120}, + PUBLISHER = {Amer. Math. Soc.}, + ADDRESS = {Providence, RI}, + YEAR = {2008}, +} + +@book{Gille-Szamuely, + AUTHOR = {Gille, Philippe and Szamuely, Tam{\'a}s}, + TITLE = {Central simple algebras and {G}alois cohomology}, + SERIES = {Cambridge Studies in Advanced Mathematics}, + VOLUME = {101}, + PUBLISHER = {Cambridge University Press}, + ADDRESS = {Cambridge}, + YEAR = {2006}, + PAGES = {xii+343}, + ISBN = {978-0-521-86103-8; 0-521-86103-9}, +} + +@book{Topics@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Topics in {G}alois theory}, + SERIES = {Research Notes in Mathematics}, + VOLUME = {1}, + PUBLISHER = {Jones and Bartlett Publishers}, + ADDRESS = {Boston, MA}, + YEAR = {1992}, + PAGES = {xvi+117}, + ISBN = {0-86720-210-6}, +} + +@book{Mordell-Weil@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Autour du théorème de {M}ordell-{W}eil}, + SERIES = {cours au Collège de France}, + NOTE = {traduction anglaise publiée chez Vieweg}, + YEAR = {1980}, +} + + +@book{Lecons@Lebesgue, + AUTHOR = {Lebesgue, Henri}, + TITLE = {Leçons sur les constructions géométriques}, + PUBLISHER = {Gauthier-Villars}, + ADDRESS = {Paris}, + YEAR = {1950}, + PAGES = {vi+304}, +} + +@article{Tohoku@Grothendieck, + AUTHOR = {Grothendieck, Alexandre}, + TITLE = {Sur quelques points d'algèbre homologique}, + JOURNAL = {Tôhoku Math. J. (2)}, + VOLUME = {9}, + YEAR = {1957}, + PAGES = {119--221}, +} + +@book{Douady-Douady, +AUTHOR = {Douady, Régine and Douady, Adrien}, + TITLE = {Algèbre et théories galoisiennes}, + PUBLISHER = {Cassini}, + ADDRESS = {Paris}, + YEAR = {2005}, +} + +@book{Polya-Szego, + AUTHOR = {Pólya, George and Szegő, Gabor}, + TITLE = {Problems and theorems in analysis, {I} et {II}}, + SERIES = {Classics in Mathematics}, + NOTE = {traduction de l'édition allemande de 1971}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {1998}, + PAGES = {xii+392}, +} + +@book{Theorie@Samuel, + AUTHOR = {Samuel, Pierre}, + TITLE = {Théorie algébrique des nombres}, + PUBLISHER = {Hermann}, + ADDRESS = {Paris}, + YEAR = {1967}, + PAGES = {130}, +} + +@incollection{cyclotomie@Weil, + AUTHOR = {Weil, André}, + TITLE = {La cyclotomie jadis et naguère}, + BOOKTITLE = {Séminaire Bourbaki, 1973/1974, 26e année, Exp. + No. 452}, + YEAR = {1974}, +} + +@incollection{Zeta@Heilbronn, + AUTHOR = {Heilbronn, H.}, + TITLE = {Zeta-functions and {$L$}-functions}, + BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton, + 1965)}, + PAGES = {204--230}, + YEAR = {1967}, +} + +@book{Memoire@Cauchy, + AUTHOR = {Cauchy, Augustin-Louis}, + TITLE = {Mémoire sur la théorie des nombres}, + NOTE = {Œuvres I, vol. III ; disponible sur \url{gallica.bnf.fr}}, + YEAR = {1840}, +} + +@book{Disquisitiones@Gauss, + AUTHOR = {Gauß, Carl Friedrich}, + TITLE = {Recherches arithmétiques (\emph{Disquisitiones arithmeticae})}, + NOTE = {Traduit du latin par A.-C.M. Poullet-Delisle. +Réédité chez Jacques Gabay, Paris et disponible sur \url{gallica.bnf.fr}}, + YEAR = {1807}, +} + +@book{Tate-Silverman, + AUTHOR = {Silverman, Joseph H. and Tate, John}, + TITLE = {Rational points on elliptic curves}, + SERIES = {Undergraduate Texts in Mathematics}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1992}, + PAGES = {x+281}, +} + +@book{Tagebuch@Gauss, + AUTHOR = {Gau{\ss}, Carl Friedrich}, + TITLE = {Mathematisches {T}agebuch, 1796--1814}, + SERIES = {Ostwalds Klassiker der Exakten Wissenschaften}, + EDITION = {cinquième}, + NOTE = {Bilingue latin-allemand (avec commentaires en allemand)}, + PUBLISHER = {Verlag Harri Deutsch}, + YEAR = {2005}, + PAGES = {235}, +} + +@book{Categories@MacLane, + AUTHOR = {Mac Lane, Saunders}, + TITLE = {Categories for the working mathematician}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {5}, + EDITION = {seconde}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1998}, + PAGES = {xii+314}, +} + +@book{suuron1@kato-kurokawa-saito, + AUTHOR = {Katô, Kazuya and Kurokawa, Noboushigué and Saïtô, Takéshi}, + TITLE = {Théorie des nombres I}, + NOTE = {En japonais}, + PUBLISHER = {Iwanami shoten}, + ADDRESS = {Tôkyô}, + YEAR = {2005}, +} + +@book{Cours@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Cours d'arithm\'etique}, + NOTE = {Deuxi\`eme \'edition revue et corrig\'ee}, + PUBLISHER = {Presses universitaires de France}, + ADDRESS = {Paris}, + YEAR = {1977}, + PAGES = {188}, +} + +@incollection{Zeta@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Zeta and {$L$} functions (Œuvres 64)}, + BOOKTITLE = {Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., + 1963)}, + PAGES = {82--92}, + PUBLISHER = {Harper \& Row}, + ADDRESS = {New York}, + YEAR = {1965}, +} + +@incollection{Lefschetz@Grothendieck, + AUTHOR = {Grothendieck, Alexandre}, + TITLE = {Formule de {L}efschetz et rationalit\'e des fonctions {$L$}}, + BOOKTITLE = {S\'eminaire Bourbaki, Vol.\ 9}, + PAGES = {Exp.\ No.\ 279, 41--55}, + PUBLISHER = {Réédité par la Soc. math. France}, + ADDRESS = {Paris}, + YEAR = {1964}, +} + +@article{Jacobi@Weil, +author="Weil, Andr\'e", +title="Jacobi sums as ``Gr{\"o}{\ss}encharaktere'' (Œuvres [1952d])", +journal="Trans. Am. Math. Soc.", +volume="73", +pages="487-495", +year="1952", +} + +@article{Numbers@Weil, + AUTHOR = {Weil, Andr{\'e}}, + TITLE = {Numbers of solutions of equations in finite fields (Œuvres [1949b])}, + JOURNAL = {Bull. Amer. Math. Soc.}, + VOLUME = {55}, + YEAR = {1949}, + PAGES = {497--508}, +} + +@article{Davenport-Hasse, +author="Davenport, Harold and Hasse, Helmut", +title="Die Nullstellen der Kongruenzzetafunktionen in gewissen zyklischen F{\"a}llen", +journal="J. reine angew. Math.", +volume="172", +pages="151-182", +year="1934", +} + +@book{Basic2@Shafarevich, + AUTHOR = {Shafarevich, Igor R.}, + TITLE = {Basic algebraic geometry, deuxième tome}, + EDITION = {Seconde}, + NOTE = {traduit du russe par Miles Reid}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {1994}, + PAGES = {xiv+269}, +} + +@book{p-adic@Koblitz, + AUTHOR = {Koblitz, Neal}, + TITLE = {{$p$}-adic numbers, {$p$}-adic analysis, and zeta-functions}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {58}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1984}, + PAGES = {xii+150}, +} + +@article{Number@Koblitz, + AUTHOR = {Koblitz, Neal}, + TITLE = {The number of points on certain families of hypersurfaces over + finite fields}, + JOURNAL = {Compositio Math.}, + FJOURNAL = {Compositio Mathematica}, + VOLUME = {48}, + YEAR = {1983}, + NUMBER = {1}, + PAGES = {3--23}, +} + +@book{RB@Mumford, + AUTHOR = {Mumford, David}, + TITLE = {The red book of varieties and schemes}, + SERIES = {Lecture Notes in Mathematics}, + VOLUME = {1358}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {1988}, + PAGES = {vi+309}, +} + +@article{RamificationII@Abbes-Saito, + AUTHOR = {Abbes, Ahmed and Sait\^o, Takeshi}, + TITLE = {Ramification of local fields with imperfect residue fields. + {II}}, + JOURNAL = {Doc. Math.}, + FJOURNAL = {Documenta Mathematica}, + YEAR = {2003}, + NUMBER = {Extra Vol.}, + PAGES = {5--72}, +} + +@article{RamificationI@Abbes-Saito, + AUTHOR = {Abbes, Ahmed and Sait\^o, Takeshi}, + TITLE = {Ramification of local fields with imperfect residue fields}, + JOURNAL = {Amer. J. Math.}, + FJOURNAL = {American Journal of Mathematics}, + VOLUME = {124}, + YEAR = {2002}, + NUMBER = {5}, + PAGES = {879--920}, +} + +@book{CRT@Matsumura, + AUTHOR = {Matsumura, Hideyuki}, + TITLE = {Commutative ring theory}, + SERIES = {Cambridge Studies in Advanced Mathematics}, + VOLUME = {8}, + PUBLISHER = {Cambridge University Press}, + YEAR = {1989}, + PAGES = {xiv+320}, +} + +@book{Anneaux@Raynaud, + AUTHOR = {Raynaud, Michel}, + TITLE = {Anneaux locaux hens\'eliens}, + SERIES = {Lecture Notes in Mathematics, Vol. 169}, + PUBLISHER = {Springer-Verlag}, + YEAR = {1970}, + PAGES = {v+129}, +} + +@book{CL@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Corps locaux}, + NOTE = {deuxi\`eme \'edition, + publications de l'Universit\'e de Nancago, No. VIII}, + PUBLISHER = {Hermann}, + ADDRESS = {Paris}, + YEAR = {1968}, + PAGES = {245}, +} + +@book{Galois@Cox, + AUTHOR = {Cox, David A.}, + TITLE = {Galois theory}, + SERIES = {Pure and Applied Mathematics (New York)}, + PUBLISHER = {Wiley-Interscience [John Wiley \& Sons]}, + ADDRESS = {Hoboken, NJ}, + YEAR = {2004}, + PAGES = {xx+559}, +} + + +@Book{Algebre@Lang, + AUTHOR = {Lang, Serge}, + TITLE = {Alg\`ebre. Cours et exercices}, + PUBLISHER = {Dunod}, + ADDRESS = {Paris}, + YEAR = {2004}, + PAGES = {944}, +} + +@Book{Algebra@VdW, + AUTHOR = {van der Waerden, B. L.}, + TITLE = {Algebra. {V}ol. {I}}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1991}, + PAGES = {xiv+265}, +} + +@book{Ireland-Rosen, + AUTHOR = {Ireland, Kenneth and Rosen, Michael}, + TITLE = {A classical introduction to modern number theory}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {84}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1990}, + PAGES = {xiv+389}, +} + +@article{Jordan@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {On a theorem of {J}ordan}, + JOURNAL = {Bull. Amer. Math. Soc. (N.S.)}, + FJOURNAL = {American Mathematical Society. Bulletin. New Series}, + VOLUME = {40}, + YEAR = {2003}, + NUMBER = {4}, + PAGES = {429--440}, +} + +@book{Bertini@Jouanolou, + AUTHOR = {Jouanolou, Jean-Pierre}, + TITLE = {Th\'eor\`emes de {B}ertini et applications}, + SERIES = {Progress in Mathematics}, + VOLUME = {42}, + PUBLISHER = {Birkh\"auser}, + ADDRESS = {Boston}, + YEAR = {1983}, + PAGES = {ii+127}, +} + +@book{CG@Serre, +author={Serre, Jean-Pierre}, +title={Cohomologie galoisienne (cinquième +édition révisée et complétée)}, +SERIES = {Lecture Notes in Mathematics}, +VOLUME = {5}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, +year = {1994}, +} + +@article{Weil1@Deligne, + AUTHOR = {Deligne, Pierre}, + TITLE = {La conjecture de {W}eil. {\sc i}}, + JOURNAL = {Publications math\'ematiques de l'{I}{H}{\'E}{S}}, + NUMBER = {43}, + YEAR = {1974}, + PAGES = {273--307}, +} + +@book{GACC@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Groupes algébriques et corps de classes}, + NOTE = {Actualités scientifiques et industrielles, 1264}, + PUBLISHER = {Hermann}, + ADDRESS = {Paris}, + YEAR = {1958}, + PAGES = {207}, +} + +@article {EGA, + AUTHOR = {Grothendieck, A.}, + TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique}, + NOTE = {numéros 4 (I) ; 8 (II) ; 11,17 (III) ; 20, 24 et 28 (IV), rédigés avec la collaboration de J. Dieudonné.}, + JOURNAL = {Publications mathématiques de l'{I}{H}{\'E}{S}}, + YEAR = {1960-1967}, +} + +@book{Etale@Milne, + AUTHOR = {Milne, James S.}, + TITLE = {\'{E}tale cohomology}, + PUBLISHER = {Princeton University Press}, + ADDRESS = {Princeton, N.J.}, + YEAR = {1980}, + PAGES = {xiii+323}, +} + +@book{Algebre@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {Alg\`ebre locale. {M}ultiplicit\'es}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {1965}, + PAGES = {vii+188 pp.}, + MRCLASS = {13.95 (14.08)}, + MRNUMBER = {34 \#1352}, +MRREVIEWER = {M. Nagata}, +} + +@Book{ATLAS, + AUTHOR = {Conway, John Horton and Curtis, Robert Turner and Norton, Simon Phillips and Parker, Richard Alan and Wilson, Robert Arnott}, + TITLE = {{ATLAS} of Finite Groups}, + PUBLISHER = {Oxford University Press}, + YEAR = {1985}, +} + +@article{invariant@Serre, + AUTHOR = {Serre, Jean-Pierre}, + TITLE = {L'invariant de {W}itt de la forme {${\rm Tr}(x^2)$}}, + JOURNAL = {Comment. Math. Helv.}, + FJOURNAL = {Commentarii Mathematici Helvetici}, + VOLUME = {59}, + YEAR = {1984}, + NUMBER = {4}, + PAGES = {651--676}, + ISSN = {0010-2571}, + DOI = {10.1007/BF02566371}, + URL = {http://dx.doi.org/10.1007/BF02566371}, +} + +@article{central@Amitsur, + AUTHOR = {Amitsur, S. A.}, + TITLE = {On central division algebras}, + JOURNAL = {Israel J. Math.}, + FJOURNAL = {Israel Journal of Mathematics}, + VOLUME = {12}, + YEAR = {1972}, + PAGES = {408--420}, + ISSN = {0021-2172}, +} + +@book{BHN@Roquette, + AUTHOR = {Roquette, Peter}, + TITLE = {The {B}rauer-{H}asse-{N}oether theorem in historical perspective}, + SERIES = {Schriften der Mathematisch-Naturwissenschaftlichen Klasse der + Heidelberger Akademie der Wissenschaften}, + VOLUME = {15}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {Berlin}, + YEAR = {2005}, + PAGES = {vi+92}, + ISBN = {3-540-23005-X}, +} + +@article{Lineare@Kneser, + AUTHOR = {Kneser, Martin}, + TITLE = {Lineare {A}bhängigkeit von {W}urzeln}, + JOURNAL = {Acta Arith.}, + FJOURNAL = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica}, + VOLUME = {26}, + YEAR = {1975}, + NUMBER = {3}, + PAGES = {307--308}, + URL ={http://matwbn.icm.edu.pl/ksiazki/aa/aa26/aa26313.pdf}, + ISSN = {0065-1036}, +} + +@article{Reflexions@Lagrange, +AUTHOR = {Lagrange, Joseph-Louis}, +TITLE = {Réflexions sur la résolution algébrique des +équations}, +JOURNAL = {Nouveaux mémoires de l'Acad. des sc. et b.-l. de +Berlin}, +YEAR = {1770-1771}, +} + +@book{Rotman, + AUTHOR = {Rotman, Joseph J.}, + TITLE = {An Introduction to the Theory of Groups}, + EDITION = {quatrième}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {148}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1995}, +} + +@book{Dixon-Mortimer, + AUTHOR = {Dixon, John D. and Mortimer, Brian}, + TITLE = {Permutation Groups}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {163}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {1996}, +} + +@book{Wilson-Parker, + AUTHOR = {Wilson, Robert and Parker, Christopher W.}, + TITLE = {The Finite Simple Groups}, + SERIES = {Graduate Texts in Mathematics}, + VOLUME = {251}, + PUBLISHER = {Springer-Verlag}, + ADDRESS = {New York}, + YEAR = {2009}, +} + +@book{Polynomials@Schinzel, + AUTHOR = {Schinzel, Andrzej}, + TITLE = {Polynomials with special regard to reducibility}, + SERIES = {Encyclopedia of Mathematics and its Applications}, + VOLUME = {77}, + NOTE = {Avec un appendice de Umberto Zannier}, + PUBLISHER = {Cambridge University Press}, + ADDRESS = {Cambridge}, + YEAR = {2000}, + PAGES = {x+558}, + ISBN = {0-521-66225-7}, + DOI = {10.1017/CBO9780511542916}, + URL = {http://dx.doi.org/10.1017/CBO9780511542916}, +} + +@article{Kennzeichnung@AS, +author="Artin, Emil and Schreier, Otto", +title="{Eine Kennzeichnung der reell abgeschlossenen Körper.}", +journal="Abhandlungen Hamburg ", +volume="5", +pages="225-231", +year="1927", +doi={10.1007/BF02952522},} + +@article {Cyclic@Albert, + AUTHOR = {Albert, A. A.}, + TITLE = {Cyclic fields of degree {$p^n$} over {$F$} of characteristic {$p$}}, + JOURNAL = {Bull. Amer. Math. Soc.}, + FJOURNAL = {Bulletin of the American Mathematical Society}, + VOLUME = {40}, + YEAR = {1934}, + NUMBER = {8}, + PAGES = {625--631}, + ISSN = {0002-9904}, + DOI = {10.1090/S0002-9904-1934-05930-5}, + URL = {http://dx.doi.org/10.1090/S0002-9904-1934-05930-5}, +} |