English

A nilpotency criterion for finite groups

Group Theory 2018-02-13 v1

Abstract

Let GG be a finite group. In this short note, we give a criterion of nilpotency of GG based on the existence of elements of certain order in each section of GG.

Keywords

Cite

@article{arxiv.1802.03553,
  title  = {A nilpotency criterion for finite groups},
  author = {Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:1802.03553},
  year   = {2018}
}
R2 v1 2026-06-23T00:17:50.293Z