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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 6, Pages 1250–1271 (Mi smj1805)  
This article is cited in 13 scientific papers (total in 13 papers)

Quasirecognition by the set of element orders of the groups $E_6(q)$ and $^2E_6(q)$

A. S. Kondrat'ev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (422 kB) Citations (13)
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Abstract: We prove that if $L$ is one of the simple groups $^2E_6(q)$ and $E_6(q)$ and $G$ is some finite group with the same spectrum as $L$, then the commutant of $G/F(G)$ is isomorphic to $L$ and the quotient $G/G'$ is a cyclic $\{2,3\}$-group.
Keywords: finite group, simple group, quasirecognition by spectrum, prime graph.
Received: 12.05.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 6, Pages 1001–1018
DOI: https://doi.org/10.1007/s11202-007-0103-4
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. S. Kondrat'ev, “Quasirecognition by the set of element orders of the groups $E_6(q)$ and $^2E_6(q)$”, Sibirsk. Mat. Zh., 48:6 (2007), 1250–1271; Siberian Math. J., 48:6 (2007), 1001–1018
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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