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Algebra i logika, 2012, Volume 51, Number 2, Pages 239–243 (Mi al532)  

This article is cited in 18 scientific papers (total in 18 papers)

A criterion of unrecognizability by spectrum for finite groups

V. D. Mazurovab, W. J. Shic

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Chongqing Univ. Arts Sci., Chongqing, China
References:
Abstract: It is proved that a finite group $G$ is unrecognizable by spectrum if and only if there exists a group isospectral to $G$ containing a nontrivial soluble normal subgroup.
Keywords: finite group, soluble normal subgroup, spectrum.
Received: 02.11.2009
English version:
Algebra and Logic, 2012, Volume 51, Issue 2, Pages 160–162
DOI: https://doi.org/10.1007/s10469-012-9179-4
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
Citation: V. D. Mazurov, W. J. Shi, “A criterion of unrecognizability by spectrum for finite groups”, Algebra Logika, 51:2 (2012), 239–243; Algebra and Logic, 51:2 (2012), 160–162
Citation in format AMSBIB
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\pages 239--243
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\pages 160--162
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  • https://www.mathnet.ru/eng/al/v51/i2/p239
  • This publication is cited in the following 18 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:493
    Full-text PDF :125
    References:92
    First page:23
     
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