English

A Sufficient Condition for Nilpotency in a Finite Group

Group Theory 2014-11-12 v1

Abstract

It is shown that finite groups in which the order of the product of every pair of elements of co-prime order is the product of the orders, is nilpotent.

Keywords

Cite

@article{arxiv.1411.2877,
  title  = {A Sufficient Condition for Nilpotency in a Finite Group},
  author = {Benjamin Baumslag and James Wiegold},
  journal= {arXiv preprint arXiv:1411.2877},
  year   = {2014}
}
R2 v1 2026-06-22T06:55:00.399Z