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Alternating group

 Home Mathematics Fields of mathematics Combinatorics Permutations Permutation groups
 1 By others on same topic  0 Discussions  1970-01-01  See my version
An **alternating group**, denoted \( A_n \), is a specific type of group in the field of abstract algebra. It consists of all the even permutations of a finite set of \( n \) elements. To fully understand this concept, it's important to break down a few terms: 1. **Permutation**: A permutation of a set is a rearrangement of its elements.

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 Articles by others on the same topic (1)

Alternating group by Ciro Santilli 37  Updated 2025-06-17  +Created 1970-01-01
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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.
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