From 7a540c35c7feb9f81aa1e85a096a2ac98c725422 Mon Sep 17 00:00:00 2001 From: Hearot Date: Fri, 20 Oct 2023 10:38:21 +0200 Subject: [PATCH] feat(algebra1): aggiunge un esempio di identificazione di D_n in S_n --- .../main.pdf | Bin 220528 -> 220538 bytes .../main.tex | 2 +- .../main.pdf | Bin 264906 -> 267268 bytes .../main.tex | 30 +++++++++++-- tex/latex/style/notes_2023.sty | 2 + tex/latex/style/quiver.sty | 40 ++++++++++++++++++ 6 files changed, 70 insertions(+), 4 deletions(-) create mode 100644 tex/latex/style/quiver.sty diff --git a/Secondo anno/Algebra 1/6. Prodotto di sottogruppi e ordini di gruppi abeliani/main.pdf b/Secondo anno/Algebra 1/6. 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Prodotto di sottogruppi e ordini di gruppi abeliani/main.tex b/Secondo anno/Algebra 1/6. Prodotto di sottogruppi e ordini di gruppi abeliani/main.tex index ff0412b..ebf52f9 100644 --- a/Secondo anno/Algebra 1/6. Prodotto di sottogruppi e ordini di gruppi abeliani/main.tex +++ b/Secondo anno/Algebra 1/6. Prodotto di sottogruppi e ordini di gruppi abeliani/main.tex @@ -193,7 +193,7 @@ \ord(\cleq 3) = 2 \neq 6$. }\footnote{ A prescindere da quanto valga $\MCD(\ord(x), \ord(y))$, - se $x$ e $y$ commutano, esiste sempre un elemento + se $x$ e $y$ commutano, esiste però sempre un elemento $g \in G$ tale per cui $\ord(g) = \mcm(\ord(x), \ord(y))$. } $x$, $y$ due elementi di $G$ che commutano con $\MCD(\ord(x), \ord(y)) = 1$. Allora $\ord(xy) = \ord(x) \ord(y)$. % TODO: aggiungere la dimostrazione diff --git a/Secondo anno/Algebra 1/8. Il gruppo diedrale e i suoi sottogruppi/main.pdf b/Secondo anno/Algebra 1/8. 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