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Matematicheskie Zametki, 1997, Volume 62, Issue 3, Pages 343–350
DOI: https://doi.org/10.4213/mzm1616 (Mi mzm1616) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On groups with isomorphic holomorphs

I. Kh. Bekker, V. N. Nedov

Tomsk State University
Full-text PDF (186 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm1616
Abstract: Groups with isomorphic holomorphs are said to be holomorphically isomorphic. The following problems are treated.
  • 1) What Abelian groups have the property that their holomorphic isomorphism implies the isomorphism of the groups themselves?
  • 2) Does holomorphic isomorphism of two groups, one of which is Abelian, imply the commutativity of the other group?
Classes of groups are selected for which the answers to these questions are positive.
Received: 02.10.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 3, Pages 288–295
DOI: https://doi.org/10.1007/BF02360869
Bibliographic databases:
UDC: 512.541
Language: Russian
Citation: I. Kh. Bekker, V. N. Nedov, “On groups with isomorphic holomorphs”, Mat. Zametki, 62:3 (1997), 343–350; Math. Notes, 62:3 (1997), 288–295
Citation in format AMSBIB
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\by I.~Kh.~Bekker, V.~N.~Nedov
\paper On groups with isomorphic holomorphs
\jour Mat. Zametki
\yr 1997
\vol 62
\issue 3
\pages 343--350
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\crossref{https://doi.org/10.4213/mzm1616}
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\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 3
\pages 288--295
\crossref{https://doi.org/10.1007/BF02360869}
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  • https://www.mathnet.ru/eng/mzm1616
  • https://doi.org/10.4213/mzm1616
  • https://www.mathnet.ru/eng/mzm/v62/i3/p343
    • This publication is cited in the following 1 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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