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= $A_n$
{synonym}
{title2}

Group of <even permutations>.

Note that <odd permutations> don't form a <subgroup> of the <symmetric group> like the even permutations do, because the composition of two odd permutations is an even permutation.


Alternating group

{c}
{title2=$\varepsilon$}
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Denoted by the <Greek letter epsilon> with `\varepsilon` encoding in <LaTeX>.

Definition:
* <odd permutation>: -1
* <even permutation>: 1
* not a <permutation>: 0. This happens iff two more more indices are repeated


Ciro Santilli @cirosantilli 37

 Incoming links: Even permutation