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Matematicheskie Zametki, 1972, Volume 12, Issue 6, Pages 727–738 (Mi mzm9938)  
This article is cited in 4 scientific papers (total in 5 papers)

Abelian and metabelian groups with regular automorphisms and semiautomorphisms

M. M. Glukhov, S. V. Larin

Krasnoyarsk State Pedagogical Institute
Full-text PDF (1699 kB) Citations (5)
Abstract: In this paper we describe all abelian groups which can be expanded as the direct product of cyclic subgroups which have regular automorphisms of given prime order and also find the necessary and sufficient conditions for the existence of regular semiautomorphisms of prime order for metabelian groups the orders of the elements of which are bounded as a set.
Received: 23.07.1971
English version:
Mathematical Notes, 1972, Volume 12, Issue 6, Pages 876–881
DOI: https://doi.org/10.1007/BF01156048
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: M. M. Glukhov, S. V. Larin, “Abelian and metabelian groups with regular automorphisms and semiautomorphisms”, Mat. Zametki, 12:6 (1972), 727–738; Math. Notes, 12:6 (1972), 876–881
Citation in format AMSBIB
\Bibitem{GluLar72}
\by M.~M.~Glukhov, S.~V.~Larin
\paper Abelian and metabelian groups with regular automorphisms and semiautomorphisms
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 6
\pages 727--738
\mathnet{http://mi.mathnet.ru/mzm9938}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=335653}
\zmath{https://zbmath.org/?q=an:0251.20040}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 6
\pages 876--881
\crossref{https://doi.org/10.1007/BF01156048}
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  • https://www.mathnet.ru/eng/mzm/v12/i6/p727
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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