English

A Sufficient Condition for Nilpotency of the Commutator Subgroup

Group Theory 2016-10-25 v1

Abstract

Let GG be a finite group with the property that if a,ba,b are commutators of coprime orders, then ab=ab|ab|=|a||b|. We show that GG' is nilpotent.

Keywords

Cite

@article{arxiv.1603.02177,
  title  = {A Sufficient Condition for Nilpotency of the Commutator Subgroup},
  author = {Raimundo Bastos and Pavel Shumyatsky},
  journal= {arXiv preprint arXiv:1603.02177},
  year   = {2016}
}