39 lines
642 B
TeX
39 lines
642 B
TeX
|
% use [nosolutions] flag to hide solutions.
|
||
|
|
% use [solutions] flag to show solutions.
|
||
|
|
\documentclass[
|
||
|
|
solutions,
|
||
|
|
singlenumbering
|
||
|
|
]{../../resources/ormc_handout}
|
||
|
|
\usepackage{../../resources/macros}
|
||
|
|
|
||
|
|
|
||
|
|
\uptitlel{Advanced 2}
|
||
|
|
\uptitler{Winter 2023}
|
||
|
|
\title{Symmetric Groups}
|
||
|
|
\subtitle{Prepared by \githref{Mark} on \today{}}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
\begin{document}
|
||
|
|
|
||
|
|
\maketitle
|
||
|
|
|
||
|
|
\input{parts/0 intro}
|
||
|
|
|
||
|
|
% cycle notation
|
||
|
|
% decomposition into transpositions
|
||
|
|
% few more problems?
|
||
|
|
|
||
|
|
% inline functions
|
||
|
|
% symmetric group
|
||
|
|
% order & generators
|
||
|
|
% subgroups
|
||
|
|
% alternating group
|
||
|
|
|
||
|
|
% type and sign
|
||
|
|
% isomorphisms & automorphisms
|
||
|
|
% automorphism groups
|
||
|
|
|
||
|
|
\end{document}
|