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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 526–529
DOI: https://doi.org/10.17377/smzh.2017.58.304 (Mi smj2877) 		 
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
Full-text PDF (245 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2017.58.304
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.
Funding agency Grant number
National Natural Science Foundation of China 11561021
11671063
Innovation Foundation of Chongqing KJTD201321
The second author was supported by the NSFC (Grant 11561021) and the third author was supported by the NSFC (Grant 11671063) and the Innovation Foundation of Chongqing (KJTD201321).
Received: 23.06.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 405–407
DOI: https://doi.org/10.1134/S0037446617030041
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20D45
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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