From 266f3a6b3666539257487fc5a037e5e9addbf48d Mon Sep 17 00:00:00 2001 From: henrydatei Date: Sat, 24 Nov 2018 17:30:09 +0100 Subject: [PATCH] kleiner Fehler in GEo behoben + coole Gleichungsnummerierung --- .../GEO/TeX_files/Aufloesbare_Gruppen.tex | 4 ++-- 3. Semester/GEO/Vorlesung GEO.pdf | Bin 634985 -> 634995 bytes 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/3. Semester/GEO/TeX_files/Aufloesbare_Gruppen.tex b/3. Semester/GEO/TeX_files/Aufloesbare_Gruppen.tex index 9d5f724..24c6ecb 100644 --- a/3. Semester/GEO/TeX_files/Aufloesbare_Gruppen.tex +++ b/3. Semester/GEO/TeX_files/Aufloesbare_Gruppen.tex @@ -8,7 +8,7 @@ Sei $G$ eine endliche Gruppe. \item Eine \begriff{Normalreihe} von $G$ ist eine Folge von Untergruppen \begin{align} \label{eq1} - G = G_0 \gneq G_1 \gneq ... \gneq G_n = 1 %TODO: Normalteiler-aber-ungleich-Symbol erzeugen + G = G_0 \gneq G_1 \gneq ... \gneq G_n = 1\tag{$\ast$} %TODO: Normalteiler-aber-ungleich-Symbol erzeugen \end{align} Dabei ist $n$ die Länge der Normalreihe, und die Quotienten $\lnkset{G_{i-1}}{G_i}$ heißen die \begriff{Faktoren} der Normalreihe. \item Eine Normalreihe $G_0, \dots, G_n$ von $G$ ist eine \begriff{Verfeinerung} einer Normalreihe $H_0,\dots,H_m$ von $G$, wenn $i_1,\dots,i_m$ mit $H_j = G_{i_{j}} \forall j$ gibt. @@ -35,7 +35,7 @@ Sei $G$ eine endliche Gruppe. \begin{align} S_4 > A_4 > V_4 > H=\langle (12)(34)\rangle > 1 \notag %TODO: Fix symbols \end{align} - mit Faktoren $\lnkset{S_4}{A_4} \cong C_2$, $\lnkset{A_4}{V_4}4 \cong C_3$, $\lnkset{V_4}{H} \cong C_2$ und $\lnkset{H}{1}\cong C_2$. + mit Faktoren $\lnkset{S_4}{A_4} \cong C_2$, $\lnkset{A_4}{V_4} \cong C_3$, $\lnkset{V_4}{H} \cong C_2$ und $\lnkset{H}{1}\cong C_2$. \item $S_5$ hat die Kompositionsreihe \begin{align} S_5 > A_5 > 1\notag %TODO: Fix symbols diff --git a/3. Semester/GEO/Vorlesung GEO.pdf b/3. 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