The Nilpotency Criterion for the Derived Subgroup of a Finite Group
Group Theory
2017-04-07 v1
Abstract
It is proved that the derived subgroup of a finite group is nilpotent if and only if for all primary commutators and of coprime orders.
Cite
@article{arxiv.1704.01746,
title = {The Nilpotency Criterion for the Derived Subgroup of a Finite Group},
author = {Victor S. Monakhov},
journal= {arXiv preprint arXiv:1704.01746},
year = {2017}
}