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Matematicheskie Zametki, 1973, Volume 14, Issue 4, Pages 543–548 (Mi mzm7287)  
This article is cited in 2 scientific papers (total in 2 papers)

Extension of isomorphisms in abelian p-groups

P. A. Krylov

Tomsk State University
Full-text PDF (548 kB) Citations (2)
Abstract: It is proved that every isomorphism between any two subgroups of a group G retaining the height of the elements in G is extended to an automorphism of the group itself in the class of abelian p-groups without elements of infinite height if and only if G is a closed group with finite Ulam invariants.
Received: 03.06.1972
English version:
Mathematical Notes, 1973, Volume 14, Issue 4, Pages 870–872
DOI: https://doi.org/10.1007/BF01108816
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: P. A. Krylov, “Extension of isomorphisms in abelian p-groups”, Mat. Zametki, 14:4 (1973), 543–548; Math. Notes, 14:4 (1973), 870–872
Citation in format AMSBIB
\Bibitem{Kry73}
\by P.~A.~Krylov
\paper Extension of isomorphisms in abelian $p$-groups
\jour Mat. Zametki
\yr 1973
\vol 14
\issue 4
\pages 543--548
\mathnet{http://mi.mathnet.ru/mzm7287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=327940}
\zmath{https://zbmath.org/?q=an:0311.20040}
\transl
\jour Math. Notes
\yr 1973
\vol 14
\issue 4
\pages 870--872
\crossref{https://doi.org/10.1007/BF01108816}
Linking options:
  • https://www.mathnet.ru/eng/mzm7287
  • https://www.mathnet.ru/eng/mzm/v14/i4/p543
    • This publication is cited in the following 2 articles:
    1. A. R. Chekhlov, “On abelian groups with right-invariant isometries”, Siberian Math. J., 55:3 (2014), 574–577  mathnet  crossref  mathscinet  isi  elib  elib
    2. A. R. Chekhlov, “O pryamykh summakh tsiklicheskikh grupp s invariantnymi monomorfizmami”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2013, no. 3(23), 60–65  mathnet  elib
    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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