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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 4, Pages 805–818 (Mi smj2365)  
This article is cited in 8 scientific papers (total in 8 papers)

Almost recognizability by spectrum of finite simple linear groups of prime dimension

M. A. Grechkoseevaa, D. V. Lytkinb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (353 kB) Citations (8)
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Abstract: The spectrum of a group is the set of its element orders. Let $L=PSL_n(q)$, where $n$ is a prime greater than $3$. We show that every finite group whose spectrum is the same as the spectrum of $L$ is isomorphic to an extension of $L$ by a subgroup of the outer automorphism group of $L$.
Keywords: simple linear group, prime graph, quasirecognizability by spectrum.
Received: 02.09.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 4, Pages 645–655
DOI: https://doi.org/10.1134/S0037446612040076
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: M. A. Grechkoseeva, D. V. Lytkin, “Almost recognizability by spectrum of finite simple linear groups of prime dimension”, Sibirsk. Mat. Zh., 53:4 (2012), 805–818; Siberian Math. J., 53:4 (2012), 645–655
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:61
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