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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 422–440
DOI: https://doi.org/10.33048/smzh.2021.62.213 (Mi smj7565) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Composition factors of the finite groups isospectral to simple classical groups

A. M. Staroletovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (357 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2021.62.213
Abstract: Isospectral are the groups with coinciding sets of element orders. We prove that no finite group isospectral to a finite simple classical group has the exceptional groups of types $E_7$ and $E_8$ among its nonabelian composition factors.
Keywords: simple classical group, exceptional group of Lie type, element orders, recognition by spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20011
The author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
Received: 27.08.2020
Revised: 06.11.2020
Accepted: 18.11.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 341–356
DOI: https://doi.org/10.1134/S0037446621020130
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: A. M. Staroletov, “Composition factors of the finite groups isospectral to simple classical groups”, Sibirsk. Mat. Zh., 62:2 (2021), 422–440; Siberian Math. J., 62:2 (2021), 341–356
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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