Abstract Algebra IBL Wiki

This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.

====== Symmetric Group ======
====Definition==== 
Let $X$ be any set. The $\textdef{symmetric group}$ on $X$, denoted $\sym(X)$, is the set of all [[permutation]]s of $X$. We denote by $S_n$ the symmetric group on $X = \{1,2,\ldots, n\}$.


----
==== Remarks ==== 
  * None.


----
==== $\LaTeX$ version ====
<file tex definition.symmetric_group.tex>
%%%%%
% DEPENDENCIES 
% RequiredMacros: \newcommand{\textdef}[1]{\textit{#1}}  \DeclareMathOperator{\sym}{Sym} 
%%%%%
\begin{definition}
Let $X$ be any set. The \textdef{symmetric group} on $X$, denoted $\sym(X)$, is the set of all permutations of $X$. We denote by $S_n$ the symmetric group on $X = \{1,2,\ldots, n\}$.
\end{definition}
</file>

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


{{tag>definition needsreview rjosh rben ben}}

Abstract Algebra IBL Wiki

User Tools

Site Tools

Page Tools