Ukrainian Mathematical Journal

, Volume 43, Issue 12, pp 1569–1571 | Cite as

Isomorphism of the Baumslag-Solitar groups

  • D. I. Moldavanskii
Brief Communications
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Abstract

Necessary and sufficient conditions for the isomorphism of two groups, each defined by a single relation of the type a−1bma=bn, are obtained.

Keywords

Single Relation 
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Literature cited

  1. 1.
    G. Baumslag and D. Solitar, “Some two-generator one-relator non-Hopfian groups,” Bull. Am. Math. Soc.,68, 199–201 (1962).Google Scholar
  2. 2.
    D. I. Moldavanskii, “On the intersection of subgroups of finite index in non-Hopfian one-relator groups,” manuscript deposited at VINITI, Moscow (1986), No. 6671-V.Google Scholar
  3. 3.
    R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory, Springer-Verlag, Berlin-Heidelberg-New York (1977).Google Scholar
  4. 4.
    A. M. Brunner, “On a class of one-relator groups,” Can. J. Math.,32, No. 2, 414–420 (1980).Google Scholar
  5. 5.
    W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Interscience, New York (1966).Google Scholar
  6. 6.
    V. Ya. Bloshchitsyn, Yu. I. Merzlyakov, and V. A. Churkin (eds.), Kourovka Notebook (Unsolved Problems of Group Theory) [in Russian], Novosibirsk (1986).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • D. I. Moldavanskii
    • 1
  1. 1.Ivanovo UniversityUSSR

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