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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 3, Pages 9–16 (Mi fpm1020)  
This article is cited in 5 scientific papers (total in 5 papers)

Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism

I. È. Grinshpon

Tomsk State University of Control Systems and Radioelectronics
Full-text PDF (120 kB) Citations (5)
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Abstract: Two groups are said to be almost holomorphically isomorphic if each of them is isomorphic to a normal subgroup of the holomorph of the other group. In this paper, we study normal subgroups of holomorphs of Abelian groups and highlight some torsion-free groups for which almost holomorphic isomorphism implies isomorphism. In addition, we consider the problem of determinateness of a group by its holomorph.
Received: 01.05.2006
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 154, Issue 3, Pages 284–289
DOI: https://doi.org/10.1007/s10958-008-9178-0
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: I. È. Grinshpon, “Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism”, Fundam. Prikl. Mat., 13:3 (2007), 9–16; J. Math. Sci., 154:3 (2008), 284–289
Citation in format AMSBIB
\Bibitem{Gri07}
\by I.~\`E.~Grinshpon
\paper Normal subgroups of holomorphs of Abelian groups and almost holomorphic isomorphism
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 3
\pages 9--16
\mathnet{http://mi.mathnet.ru/fpm1020}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2322983}
\zmath{https://zbmath.org/?q=an:1159.20030}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 154
\issue 3
\pages 284--289
\crossref{https://doi.org/10.1007/s10958-008-9178-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54849420465}
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  • https://www.mathnet.ru/eng/fpm/v13/i3/p9
    • 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
    		Фундаментальная и прикладная математика
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    References:68
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