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 diff --git a/chapitres/calculs-galois.tex b/chapitres/calculs-galois.texindex 766eb3e..12a8c7b 100644--- a/chapitres/calculs-galois.tex+++ b/chapitres/calculs-galois.tex@@ -14,6 +14,7 @@ \usepackage{tikz} \usetikzlibrary{matrix} \usetikzlibrary{calc}+\usetikzlibrary{positioning} \usepackage{srcltx} \externaldocument{corps-finis}@@ -2665,6 +2666,58 @@ relative). Si $G$ est contenu dans les deux, c'est-à-dire dans $D_5 = contenu dans$C_5$comme on vient de l'indiquer. +\subsection{Degré$6$}++\begin{center}+\begin{tikzpicture}[auto,node distance=5ex and 3em]+\node (group-15) {$\mathfrak{S}_6$};+\node (group-14) [below=of group-15] {$\mathfrak{A}_6$};+\node (group-10) [right=of group-14] {$\mathfrak{S}_4 \times C_2$};+\node (group-13) [right=of group-10] {$\mathfrak{S}_5$};+\node (group-12) [left=of group-14] {$(\mathfrak{S}_3\times\mathfrak{S}_3):C_2$};+\node (group-6) [below=of group-14] {$\mathfrak{S}_4^+$};+\node (group-11) [right=3.5em of group-6] {$\mathfrak{A}_5$};+\node (group-5) [right=of group-11] {$\mathfrak{A}_4 \times C_2$};+\node (group-7) [right=of group-5] {$\mathfrak{S}_4^-$};+\node (group-9) [left=of group-6] {$(C_3\times C_3):C_4$};+\node (group-8) [left=of group-9] {$\mathfrak{S}_3 \times \mathfrak{S}_3$};+\node (group-3) [below=of group-6] {$D_6$};+\node (group-2) [right=of group-3] {$\mathfrak{A}_4$};+\node (group-4) [left=4em of group-3] {$\mathfrak{S}_3 \times C_3$};+\node (group-1) [below=of group-3] {$C_6$};+\node (group-0) [right=of group-1] {$\mathfrak{S}_3\$};+\draw (group-15) -- (group-14);+\draw (group-15) -- (group-10);+\draw (group-15) -- (group-13);+\draw (group-15) -- (group-12);+\draw (group-14) -- (group-9);+\draw (group-14) -- (group-6);+\draw (group-14) -- (group-11);+\draw (group-10) -- (group-6);+\draw (group-10) -- (group-5);+\draw (group-10) -- (group-7);+\draw (group-10) -- (group-3);+\draw (group-13) -- (group-11);+\draw (group-13) -- (group-7);+\draw [out=225,in=30] (group-13) to (group-3);+\draw (group-12) -- (group-8);+\draw (group-12) -- (group-9);+\draw (group-6) -- (group-2);+\draw (group-11) -- (group-2);+\draw (group-5) -- (group-2);+\draw [out=270,in=45] (group-5) to (group-1);+\draw (group-7) -- (group-2);+\draw (group-7) -- (group-0);+\draw (group-8) -- (group-4);+\draw (group-8) -- (group-3);+\draw (group-3) -- (group-1);+\draw (group-3) -- (group-0);+\draw (group-4) -- (group-1);+\draw (group-4) -- (group-0);+\end{tikzpicture}+\end{center}++ \ifx\danslelivre\undefined \bibliography{../configuration/bibliographie-livre}