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Algebra i logika, 2015, Volume 54, Number 4, Pages 439–443
DOI: https://doi.org/10.17377/alglog.2015.54.402
(Mi al703)
 

This article is cited in 6 scientific papers (total in 6 papers)

Recognizing L3(4) by the set of element orders in the class of all groups

A. S. Mamontovab, E. Jabarac

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
c Dipartimento di Filosofia e Beni Culturali, Università Ca' Foscarii San Giobbe, Cannaregio, 873-30121, Venezia, Italy
Full-text PDF (134 kB) Citations (6)
References:
Abstract: A finite simple group L3(4) is characterized up to isomorphism by its set of element orders in the class of all groups.
Keywords: periodic group, locally finite group.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The work is supported by Russian Science Foundation (project 14-21-00065).
Received: 09.12.2014
English version:
Algebra and Logic, 2015, Volume 54, Issue 4, Pages 279–282
DOI: https://doi.org/10.1007/s10469-015-9348-3
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: A. S. Mamontov, E. Jabara, “Recognizing L3(4) by the set of element orders in the class of all groups”, Algebra Logika, 54:4 (2015), 439–443; Algebra and Logic, 54:4 (2015), 279–282
Citation in format AMSBIB
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\by A.~S.~Mamontov, E.~Jabara
\paper Recognizing $L_3(4)$ by the set of element orders in the class of all groups
\jour Algebra Logika
\yr 2015
\vol 54
\issue 4
\pages 439--443
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\crossref{https://doi.org/10.17377/alglog.2015.54.402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468409}
\transl
\jour Algebra and Logic
\yr 2015
\vol 54
\issue 4
\pages 279--282
\crossref{https://doi.org/10.1007/s10469-015-9348-3}
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Linking options:
  • https://www.mathnet.ru/eng/al703
  • https://www.mathnet.ru/eng/al/v54/i4/p439
  • This publication is cited in the following 6 articles:
    1. A. S. Mamontov, “Periodic Groups with Dense Spectrum”, Algebra Logic, 60:6 (2022), 433  crossref
    2. A. S. Mamontov, E. Jabara, “Recognizing A7 by its set of element orders”, Siberian Math. J., 62:1 (2021), 93–104  mathnet  crossref  crossref  isi  elib
    3. A. S. Mamontov, “Periodicheskie gruppy s plotnym spektrom”, Algebra i logika, 60:6 (2021), 647–657  mathnet  crossref
    4. A. S. Mamontov, E. Jabara, “On periodic groups isospectral to a7. ii”, Siberian Math. J., 61:6 (2020), 1093–1101  mathnet  crossref  crossref  isi  elib
    5. A. Moreto, “The number of elements of prime order”, Monatsh. Math., 186:1 (2018), 189–195  crossref  mathscinet  zmath  isi  scopus
    6. Marcel Herzog, Patrizia Longobardi, Mercede Maj, Indian Statistical Institute Series, Group Theory and Computation, 2018, 59  crossref
    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:361
    Full-text PDF :74
    References:69
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