Algebra and Logic

, Volume 10, Issue 5, pp 353–362 | Cite as

Subgroups of groups with one defining relation that contains no free subgroups of rank 2

  • A. A. Chebotar'


Mathematical Logic Free Subgroup 
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Literature cited

  1. 1.
    A. Karrass and D. Solitar, “The subgroups of a free product of two groups with an amalgamated subgroup,” Trans. Amer. Math. Soc.,150, 227–255 (1970).Google Scholar
  2. 2.
    A. G. Kurosh, Theory of Groups [in Russian], third edition, Izdat. Nauka, Moscow (1967), 223–224, 247–248.Google Scholar
  3. 3.
    W. Magnus, A. Karrass, and D. Solitar, Combinatorial Group Theory, Wiley (1966).Google Scholar
  4. 4.
    D. I. Moldavanskii, “On certain subgroups of groups with one defining relation,” Sibirsk. Matem. Zh.,8, No. 6, 1370–1384 (1967).Google Scholar
  5. 5.
    D. I. Moldavanskii, On Subgroups of Groups with One Defining Relation, Dissertation, Ivanovo (1968).Google Scholar
  6. 6.
    B. B. Newman, “Some results on one relator groups,” Bull. Amer. Math. Soc.,74, No. 3, 568–571 (1968).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • A. A. Chebotar'

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