On soluble groups in which commutators have prime power order

Mateus Figueiredo, Pavel Shumyatsky
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Abstract

The article deals with finite groups in which commutators have prime power order (CPPO-groups). We show that if G is a soluble CPPO-group, then the order of the commutator subgroup G' is divisible by at most two primes.
关于换元具有质幂阶的可解群
文章涉及换元具有素幂阶的有限群(CPPO-群)。我们证明,如果 G 是一个可溶的 CPPO 群,那么换元子群 G' 的阶最多可被两个素数整除。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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