
If the group of inner automorphisms of a semigroup S of transformations of a finite n-element set contains an isomorphic copy of the alternating group Altn, then S is an Sn-normal semigroup and all the automorphisms of S are inner.
Semigroups of transformations, relations, partitions, etc., Finite automorphism groups of algebraic, geometric, or combinatorial structures, \(S_ n\)-normal semigroups, semigroups of transformations, alternating groups, groups of inner automorphisms
Semigroups of transformations, relations, partitions, etc., Finite automorphism groups of algebraic, geometric, or combinatorial structures, \(S_ n\)-normal semigroups, semigroups of transformations, alternating groups, groups of inner automorphisms
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