In this note, we provide some nilpotency criteria for the terms of the lower central series of a finite group involving the order of their standard generators. Moreover, when the finite group is solvable, we provide a characterization for the nilpotency of the terms of the derived series of the group.
Criteria for nilpotency of higher commutator subgroups
Monetta C.
2025
Abstract
In this note, we provide some nilpotency criteria for the terms of the lower central series of a finite group involving the order of their standard generators. Moreover, when the finite group is solvable, we provide a characterization for the nilpotency of the terms of the derived series of the group.File in questo prodotto:
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