Email this article A characterizing property of CP-groups
- Authors: Buturlakin A.A.1, Shen R.2, Shi W.2
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Affiliations:
- Sobolev Institute of Mathematics
- Department of Mathematics
- Issue: Vol 58, No 3 (2017)
- Pages: 405-407
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171188
- DOI: https://doi.org/10.1134/S0037446617030041
- ID: 171188
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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.
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About the authors
A. A. Buturlakin
Sobolev Institute of Mathematics
Author for correspondence.
Email: buturlakin@math.nsc.ru
Russian Federation, Novosibirsk
R. Shen
Department of Mathematics
Email: buturlakin@math.nsc.ru
China, Enshi, Hubei Province
W. Shi
Department of Mathematics
Email: buturlakin@math.nsc.ru
China, Yongchuan, Chongqing
