关于换元具有质幂阶的可解群

Mateus Figueiredo, Pavel Shumyatsky
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引用次数: 0

摘要

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。
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On soluble groups in which commutators have prime power order
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.
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