On soluble groups in which commutators have prime power order
Group Theory
2024-08-06 v1
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.
Keywords
Cite
@article{arxiv.2408.01974,
title = {On soluble groups in which commutators have prime power order},
author = {Mateus Figueiredo and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:2408.01974},
year = {2024}
}