Acta Mathematica Hungarica

February 2019, Volume 157, Issue 1, pp 154–157 | Cite as

A p-nilpotency criterion for finite groups

• Authors
• Authors and affiliations

• A. Díaz Ramos
• A. Viruel

Article

First Online: 07 August 2018

• 29 Downloads

Abstract

We prove a p-nilpotency criterion for finite groups in terms of the element orders of its p′-reduced sections that extends a nilpotency criterion by Tărnăuceanu.

Key words and phrases

p-nilpotent finite group Euler’s totient function fusion system Frobenius’s p-complement theorem 

Mathematics Subject Classification

20D20 20D15 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

• A. Díaz Ramos
  • 1
  Email author
• A. Viruel
  • 1

1. 1.Departamento de Álgebra, Geometría y TopologíaUniversidad de MálagaMálagaSpain