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definition:alternating_group [2013/08/15 01:47]
danaernst Reviewed by Dana
definition:alternating_group [2013/08/21 13:10] (current)
bmwoodruff [External links]
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 ====== Alternating Group ====== ====== Alternating Group ======
 ====Definition====  ====Definition==== 
-The alternating group of degree $n$, or alternating group on $n$ letters, is the [[definition:permutation group]] of [[definition:even permutation]]s on $n$ elements. We'll use the notation $A_n$ to denote the alternating group of degree $n$.  +The $\textdef{alternating group}$ of degree $n$, or alternating group on $n$ letters, is the [[definition:permutation group]] of [[definition:even permutation]]s on $n$ elements. We'll use the notation $A_n$ to denote the alternating group of degree $n$.  
  
  
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 ---- ----
 ==== $\LaTeX$ version ==== ==== $\LaTeX$ version ====
-<code>+<file tex alternating_group.tex>
 %%%%% %%%%%
 % DEPENDENCIES  % DEPENDENCIES 
-% RequiredMacros: \DeclareMathOperator{\syl}{Syl+% RequiredMacros: \newcommand{\textdef}[1]{\textit{#1}}
 %%%%% %%%%%
 \begin{definition} \begin{definition}
-Type the definition using LaTeX syntax.+The $\textdef{alternating group}$ of degree $n$, or alternating group on $n$ letters, is the permutation group of even permutations on $n$ elements. We'll use the notation $A_n$ to denote the alternating group of degree $n$.
 \end{definition} \end{definition}
-</code>+</file>
  
 ---- ----
 ==== External links ==== ==== External links ====
-  * [[wp>Alternating_group]]+  * [[wp>Alternating group]]
  
  
-{{tag>definition ben needsreview rben rdana}}+{{tag>definition ben needsreview rben rdana rjosh complete}}
definition/alternating_group.1376545641.txt.gz · Last modified: 2013/08/15 01:47 by danaernst