A Characterization of the Commutator Subgroup of a Group
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 93-94

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An element a of a semigroup S is n-potent if there exist a 1, a 2,..., a k ∈S such that a = a 1 a 2...a k and If S is a group, the set of n-potent elements is a normal subgroup of S and the set of 1-potent elements is the commutator subgroup of S.
Thierrin, G. A Characterization of the Commutator Subgroup of a Group. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 93-94. doi: 10.4153/CMB-1976-013-2
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