A characterizing property of CP-groups

A. A. Buturlakin, R. Shen, W. Shi

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a finite group. It is proved that if, for every prime p, the number of nonidentity p-elements of G is divisible by the p′-part of |G|, then all element orders of G are prime powers.

Original languageEnglish
Pages (from-to)405-407
Number of pages3
JournalSiberian Mathematical Journal
Volume58
Issue number3
DOIs
Publication statusPublished - 1 May 2017

Keywords

  • CP-groups
  • elements of prime power order
  • finite groups

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