Skip to main content

On locally extended residually finite groups

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 319))

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. G. Burns, "On finitely generated subgroups of free products", J. Austral. Math. Soc., 12(1971), 358–364.

    Article  MathSciNet  MATH  Google Scholar 

  2. P. Stebe, "Residual finiteness of a class of knot groups", Comm. Pure and Applied Math., 21(1968), 563–583.

    Article  MathSciNet  MATH  Google Scholar 

  3. M. Hall, "Coset representation in free groups", Trans. Amer. Math. Soc., 67(1949), 421–432.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. Stebe, "On free products of isomorphic free groups with a single finitely generated amalgamated subgroup", J. Algebra, 11(1969), 359–362.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  6. N. S. Romanovskii, "On the residual finiteness of free products with respect to subgroups", Izv. Akad. Nauk SSSR Ser. Mat., 33(1969), 1324–1329 (Russian).

    MathSciNet  Google Scholar 

  7. A. I. Mal'cev, "On homomorphisms onto finite groups", Ivanov. Gos. Ped. Inst. Učen. Zap., 18(1958), 49–60 (Russian).

    Google Scholar 

  8. B. Evans and J. Boler, "The free products of residually finite groups amalgamated along retracts is residually finite", submitted to Proc. Amer. Math. Soc.

    Google Scholar 

  9. G. Baumslag and D. Solitar, "Some two-generator one-relator non-hopfian groups", Bull. Amer. Math. Soc., 68(1962), 199–201.

    Article  MathSciNet  MATH  Google Scholar 

  10. B. Baumslag, "Residually free groups", Proc. London Math. Soc. (3), 17(1967), 402–418.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. J. Gregorac, "On generalized free products of finite extensions of free groups", J. London Math. Soc., 41(1966), 662–666.

    Article  MathSciNet  MATH  Google Scholar 

  12. J. L. Dyer, "On the residual finiteness of generalized free products", Trans. Amer. Math. Soc., 133(1968), 131–143.

    Article  MathSciNet  MATH  Google Scholar 

  13. P. F. Smith, "Quotient rings of group rings", J. of the London Math. Soc., 3(1971), 645–660.

    Article  MathSciNet  MATH  Google Scholar 

  14. G. Baumslag, "On the residual finiteness of generalized free products of nilpotent groups", Trans. Amer. Math. Soc., 106(1963), 193–209.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

R. W. Gatterdam K. W. Weston

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer Verlag

About this paper

Cite this paper

Allenby, R.B.J.T., Gregorac, R.J. (1973). On locally extended residually finite groups. In: Gatterdam, R.W., Weston, K.W. (eds) Conference on Group Theory. Lecture Notes in Mathematics, vol 319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058924

Download citation

  • DOI: https://doi.org/10.1007/BFb0058924

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06205-9

  • Online ISBN: 978-3-540-38479-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics