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This article is cited in 2 scientific papers (total in 2 papers)
A characterizing property of CP-groups
A. A. Buturlakinab, R. Shenc, W. Shid a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province, P. R. China
d Department of Mathematics, Chongqing University of Arts and Sciences, Yongchuan, Chongqing, P. R. China
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.
Keywords:
finite groups, CP-groups, elements of prime power order.
Received: 23.06.2016
Citation:
A. A. Buturlakin, R. Shen, W. Shi, “A characterizing property of CP-groups”, Sibirsk. Mat. Zh., 58:3 (2017), 526–529; Siberian Math. J., 58:3 (2017), 405–407
Linking options:
https://www.mathnet.ru/eng/smj2877 https://www.mathnet.ru/eng/smj/v58/i3/p526
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Abstract page: | 177 | Full-text PDF : | 53 | References: | 33 | First page: | 5 |
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