A criterion for metanilpotency of a finite group
Group Theory
2018-10-23 v1
Abstract
We prove that the th term of the lower central series of a finite group is nilpotent if and only if for any -commutators of coprime orders.
Cite
@article{arxiv.1706.03133,
title = {A criterion for metanilpotency of a finite group},
author = {Raimundo Bastos and Carmine Monetta and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1706.03133},
year = {2018}
}