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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 303–315 (Mi smj2084)  
This article is cited in 10 scientific papers (total in 10 papers)

Recognition of simple groups $B_p(3)$ by the set of element orders

M. R. Zinov'evaa, R. Shenb, W. Shib

a Ural State Technical University, Ekaterinburg
b Department of mathematics, Suzhou University, China
Full-text PDF (355 kB) Citations (10)
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Abstract: Let $G$ be a finite group and let $\omega(G)$ be the set of its element orders. We prove that if $\omega(G)=\omega(B_p(3))$ where $p$ is an odd prime, then $G\cong B_3(3)$ or $D_4(3)$ for $p=3$ and $G\cong B_p(3)$ for $p>3$.
Keywords: finite group, prime graph, recognition by spectrum.
Received: 25.01.2008
Revised: 19.11.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 244–254
DOI: https://doi.org/10.1007/s11202-010-0024-5
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: M. R. Zinov'eva, R. Shen, W. Shi, “Recognition of simple groups $B_p(3)$ by the set of element orders”, Sibirsk. Mat. Zh., 51:2 (2010), 303–315; Siberian Math. J., 51:2 (2010), 244–254
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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