Skip to main content

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 372))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Maurice Auslander and R.C. Lyndon, "Commutator subgroups of free groups", Amer. J. Math. 77 (1955), 929–931. MR17,709.

    Article  MathSciNet  MATH  Google Scholar 

  2. Gilbert Baumslag, "Groups with the same lower central sequence as a relatively free group. I The groups", Trans. Amer. Math. Soc. 129 (1967), 308–321. MR36#248.

    MathSciNet  MATH  Google Scholar 

  3. Gilbert Baumslag, "A finitely generated infinitely related group with trivial multiplicator", Bull. Austral. Math. Soc. 5 (1971), 131–136. MR45#6897.

    Article  MathSciNet  MATH  Google Scholar 

  4. Gilbert Baumslag, "A finitely presented metabelian group with a free abelian group of infinite rank", Proc. Amer. Math. Soc. 35 (1972), 61–62.MR45#871.

    Article  MathSciNet  MATH  Google Scholar 

  5. Gilbert Baumslag, "On finitely presented metabelian groups", Bull. Amer. Math. Soc. 78 (1972), 279. MR45#354.

    Article  MathSciNet  MATH  Google Scholar 

  6. Gilbert Baumslag, "Some remarks about multiplicators and finitely presented groups", Math. Z. 126 (1972), 239–242.

    Article  MathSciNet  MATH  Google Scholar 

  7. Gilbert Baumslag, "Subgroups of finitely presented metabelian groups", J. Austral. Math. Soc. 16 (1973), 98–110.

    Article  MathSciNet  MATH  Google Scholar 

  8. Gilbert Baumslag, "A remark on groups with trivial multiplicator", Amer. J. Math. (to appear).

    Google Scholar 

  9. Gilbert Baumslag, "A finitely presented solvable group that is not residually finite", Math. Z. 133 (1973), 125–127.

    Article  MathSciNet  MATH  Google Scholar 

  10. Gilbert Baumslag, "On parafree metabelian groups", unpublished.

    Google Scholar 

  11. Gilbert Baumslag, "One-relator metabelian groups", unpublished.

    Google Scholar 

  12. Robert Bieri, "Über die cohomologische Dimension der auflösbaren Gruppen", Math. Z. 128 (1972), 235–242. Zbl.237.20027.

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Boler, PhD thesis, Rice University, 1974.

    Google Scholar 

  14. Robert C. Brigham, "On the isomorphism problem for just-infinite groups", Comm. Pure Appl. Math. 24 (1971), 789–796. MR44#5377.

    Article  MathSciNet  MATH  Google Scholar 

  15. K.W. Gruenberg, "Residual properties of infinite soluble groups", Proc. London Math. Soc. (3) 7 (1957), 29–62. MR19,386.

    Article  MathSciNet  MATH  Google Scholar 

  16. P. Hall, "Finiteness conditions for soluble groups", Proc. London Math. Soc. (3) 4 (1954), 419–436. MR17,344.

    MathSciNet  MATH  Google Scholar 

  17. P. Hall, "On the finiteness of certain soluble groups", Proc. London Math. Soc. (3) 9 (1959), 595–622. MR22#1618.

    Article  MathSciNet  MATH  Google Scholar 

  18. G. Higman, "Subgroups of finitely presented groups", Proc. Roy. Soc. London Ser. A 262 (1961), 455–475. MR24#152.

    Article  MathSciNet  MATH  Google Scholar 

  19. Serge Lang, Diophantine geometry (Interscience Tracts in Pure and Applied Mathematics, 11. Interscience [John Wiley & Sons], New York, London, 1962). MR26#119.

    MATH  Google Scholar 

  20. Barbara Long, PhD thesis, City University of New York, 1970.

    Google Scholar 

  21. А.И. Мальцев [A.I. Mal'cev], "О неноторых нлассах беснонечных разрещнмых групп" [On certain classes of infinite solvable groups], Mat. Sb. (NS) 28 (70) (1951), 567–588; Amer. Math. Soc. Transl. (2) 2 (1956), 1–21. MR13,203.

    Google Scholar 

  22. B.H. Neumann, "Some remarks on infinite groups", J. London Math. Soc. 12 (1937), 120–127. FdM63,64.

    Article  MATH  Google Scholar 

  23. В.Н. Ремесленннинов [V.N. Remeslennikov], "Представление нонечно порожденных метабелевых групп матрицами" [Representation of finitely generated metabelian groups by matrices], Algebra i Logika 8 (1969), 72–75; Algebra and Logic 8 (1969), 39–40. MR44#335.

    Article  MathSciNet  Google Scholar 

  24. В.Н. Ремесленников [V.N. Remeslennikov], "Пример конечноопределенной раэрещимой группы без условия максималыности для нормальных подгрупп" [A finitely presented soluble group without maximum condition for normal subgroups], Mat. Zametki 12 (1972), 287–293.

    MathSciNet  Google Scholar 

  25. В.Н. Ремесленников [V.N. Remeslennikov], "О конечно-определенных группах" [On finitely-presented groups], Proc. Fourth All-union Symposium on the Theory of Groups, February 1973, pp. 164–169 (Novosibirsk, 1973).

    Google Scholar 

  26. А.Л. Шмевьнин [A.L. Šmel'kin], "О разрешимых произведениях групп" [On soluble products of groups], Sibirsk. Mat. Ž. 6 (1965), 212–220. MR32#2464.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. F. Newman

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this chapter

Cite this chapter

Baumslag, G. (1974). Finitely presented metabelian groups. In: Newman, M.F. (eds) Proceedings of the Second International Conference on The Theory of Groups. Lecture Notes in Mathematics, vol 372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065159

Download citation

  • DOI: https://doi.org/10.1007/BFb0065159

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06833-4

  • Online ISBN: 978-3-540-37801-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics