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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 6, Pages 1279–1282 (Mi smj2603)  
This article is cited in 4 scientific papers (total in 4 papers)

Two questions in the theory of $m$-groups

A. V. Zenkova, O. V. Isaevab

a Altai State University of Agriculture, Barnaul, Russia
b Altai State University, Barnaul, Russia
Full-text PDF (255 kB) Citations (4)
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Abstract: We study the structure of primitive $m$-groups in the variety of normal-valued $m$-groups. We prove that $\mathscr{U(V}_1\lor \mathscr V_2)=\mathscr{UV}_1\lor\mathscr{UV}_2$ for arbitrary varieties of $m$-groups $\mathscr U$, $\mathscr V_1$ and $\mathscr V_2$.
Keywords: $m$-transitive representation, primitive representation, normal-valued $m$-group, subdirectly indecomposable $m$-group, variety of $m$-groups.
Received: 10.03.2014
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 6, Pages 1042–1044
DOI: https://doi.org/10.1134/S0037446614060068
Bibliographic databases:
Document Type: Article
UDC: 512.545
Language: Russian
Citation: A. V. Zenkov, O. V. Isaeva, “Two questions in the theory of $m$-groups”, Sibirsk. Mat. Zh., 55:6 (2014), 1279–1282; Siberian Math. J., 55:6 (2014), 1042–1044
Citation in format AMSBIB
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\pages 1279--1282
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\transl
\jour Siberian Math. J.
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919433084}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:38
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