% use [nosolutions] flag to hide solutions.
% use [solutions] flag to show solutions.
\documentclass[
	solutions,
	singlenumbering
]{../../resources/ormc_handout}
\usepackage{../../resources/macros}
\usetikzlibrary{calc}

\uptitlel{Advanced 2}
\uptitler{Winter 2023}
\title{Symmetric Groups}
\subtitle{Prepared by \githref{Mark} on \today{}}



\def\line#1#2{
	\draw[line width = 0.3mm, ->, ocyan]
		(#1)
		-- ($(#1) + (0, -1)$)
		-- ($(#2) + (0,1)$)
		-- (#2);
}

\begin{document}

	\maketitle

	\input{parts/0 intro}
	\input{parts/1 cycle}


	% decomposition into transpositions
	% few more problems?

	% inline functions
	% symmetric group
	% order & generators
	% subgroups
	% alternating group

	% type and sign
	% isomorphisms & automorphisms
	% automorphism groups

\end{document}