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Algebra i logika, 2009, Volume 48, Number 6, Pages 685–728 (Mi al420)  

This article is cited in 54 scientific papers (total in 54 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
References:
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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\paper Characterization of the finite simple groups by spectrum and order
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\vol 48
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\pages 685--728
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\jour Algebra and Logic
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\pages 385--409
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Linking options:
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  • https://www.mathnet.ru/eng/al/v48/i6/p685
  • This publication is cited in the following 54 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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    Abstract page:858
    Full-text PDF :224
    References:126
    First page:25
     
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