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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 352–356 (Mi smj2088)  
This article is cited in 2 scientific papers (total in 2 papers)

On the conjugacy class lengths of finite groups

Q. Konga, X. Guob

a Department of Mathematics, Tianjin Polytechnic University, Tianjin, People's Republic of China
b Department of Mathematics, Shanghai University, Shanghai, People's Republic of China
Full-text PDF (248 kB) Citations (2)
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Abstract: We investigate how certain arithmetical conditions on the conjugacy class lengths of all elements of prime power or biprimary orders of $G$ influence the $p$-structure of $G$. In particular, the structure of $p$-complements of $G$ is described. Some results in [1] and [2] are generalized.
Keywords: conjugacy class lengths, $p$-nilpotent group, finite group.
Received: 09.09.2008
Revised: 06.12.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 286–288
DOI: https://doi.org/10.1007/s11202-010-0028-1
Bibliographic databases:
Document Type: Article
UDC: 512.542.6
Language: Russian
Citation: Q. Kong, X. Guo, “On the conjugacy class lengths of finite groups”, Sibirsk. Mat. Zh., 51:2 (2010), 352–356; Siberian Math. J., 51:2 (2010), 286–288
Citation in format AMSBIB
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\paper On the conjugacy class lengths of finite groups
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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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