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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 6, Pages 1300–1330
DOI: https://doi.org/10.33048/smzh.2020.61.606 (Mi smj6052) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On recognition of $l_4(q)$ and $u_4(q)$ by spectrum

M. A. Grechkoseeva, M. A. Zvezdina

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (400 kB) Citations (7)
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DOI: https://doi.org/10.33048/smzh.2020.61.606
Abstract: Groups are said to be isospectral if they have the same sets of element orders. Suppose that $L$ is a finite simple linear or unitary group of dimension 4 over a field of odd characteristic. We prove that every finite group isospectral to $L$ is an almost simple group with socle $L$.
Keywords: simple classical group, element order, recognition by spectrum.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20011
The authors were supported by the Russian Foundation for Basic Research (Grant 18–31–20011).
Received: 07.07.2020
Revised: 04.08.2020
Accepted: 10.08.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 6, Pages 1039–1065
DOI: https://doi.org/10.1134/S0037446620060063
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: M. A. Grechkoseeva, M. A. Zvezdina, “On recognition of $l_4(q)$ and $u_4(q)$ by spectrum”, Sibirsk. Mat. Zh., 61:6 (2020), 1300–1330; Siberian Math. J., 61:6 (2020), 1039–1065
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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