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Algebra i logika, 2009, Volume 48, Number 6, Pages 685–728 (Mi al420)  
This article is cited in 53 scientific papers (total in 53 papers)

Characterization of the finite simple groups by spectrum and order

A. V. Vasil'evab, M. A. Grechkoseevaab, V. D. Mazurovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (404 kB) Citations (53)
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Abstract: We give an affirmative answer to Question 12.39 in the Kourovka Notebook. Namely, it is proved that a finite simple group and a finite group having equal orders and same sets of element orders are isomorphic.
Keywords: finite group, simple group, element orders, recognizability by spectrum and order, symplectic group, orthogonal group.
Received: 05.08.2009
English version:
Algebra and Logic, 2009, Volume 48, Issue 6, Pages 385–409
DOI: https://doi.org/10.1007/s10469-009-9074-9
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: A. V. Vasil'ev, M. A. Grechkoseeva, V. D. Mazurov, “Characterization of the finite simple groups by spectrum and order”, Algebra Logika, 48:6 (2009), 685–728; Algebra and Logic, 48:6 (2009), 385–409
Citation in format AMSBIB
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    • This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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