In mathematics, an alternating group is the group of even permutations of a finite set. The alternating group on the set {1,...,n} is called the alternating group of degree n, or the alternating group on n letters and denoted by An or Alt(n).
Read more about Alternating Group: Basic Properties, Conjugacy Classes, Automorphism Group, Exceptional Isomorphisms, Examples S4 and A4, Subgroups, Group Homology
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—Zick Rubin (20th century)