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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 2, Pages 298–302 (Mi smj2421)  
This article is cited in 5 scientific papers (total in 5 papers)

On representations of $m$-groups

S. V. Varaksina, A. V. Zenkovb

a Altai State University, Barnaul, Russia
b Altai State University of Agriculture, Barnaul, Russia
Full-text PDF (263 kB) Citations (5)
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Abstract: We obtain a description of the $m$-transitive representations of an arbitrary $m$-group. Some necessary and sufficient conditions are given for an $m$-group to admit a faithful $m$-transitive representation. We establish as a corollary that each subdirectly $m$-indecomposable group admits a faithful $m$-transitive representation, and so each variety of $m$-groups is generated by its $m$-transitive groups.
Keywords: $m$-group, $m$-transitive representation, subdirectly indecomposable $m$-group.
Received: 03.05.2011
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 2, Pages 227–230
DOI: https://doi.org/10.1134/S0037446613020067
Bibliographic databases:
Document Type: Article
UDC: 512.545
Language: Russian
Citation: S. V. Varaksin, A. V. Zenkov, “On representations of $m$-groups”, Sibirsk. Mat. Zh., 54:2 (2013), 298–302; Siberian Math. J., 54:2 (2013), 227–230
Citation in format AMSBIB
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\paper On representations of $m$-groups
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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