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单词 alternating group
释义

alternating group

The subgroup of the symmetric group, Sn, containing all the even permutations of n objects. It is denoted An and has order n!/2 for n > 1. For n > 4, it is the only proper, non-trivial, normal subgroup of Sn and is a simple group.

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更新时间:2025/4/28 23:48:41