====== S X Is A Group ======
==== Problem ====
Let $X$ be any set, and let $S_X$ be the set of permutations on $X$. Please show that $S_X$ is a group under function composition.

----
==== Remarks ====  
  * Make remarks with a list.

----
==== $\LaTeX$ version ====
<file tex problem.s_x_is_a_group.tex>
%%%%%
% DEPENDENCIES
% RequiredPackages: \usepackage{tikz}
% RequiredMacros: \DeclareMathOperator{\aut}{Aut} 
%%%%%
\begin{problem}
Type the problem code here.
\end{problem}
</file>

----
==== External links ====
  * [[wp>Dihedral group]]

{{tag>problem}}