Skip to main content

Decision problems for infinite soluble groups

  • Conference paper
  • First Online:
Groups — Korea 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1098))

  • 330 Accesses

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 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Baumslag, F.B. Cannonito, and C.F. Miller III, "Some recognizable properties of solvable groups", Math. Z. 178 (1981), pp. 289–295, MR82k:20061.

    Article  MathSciNet  MATH  Google Scholar 

  2. F.B. Cannonito and D.J.S. Robinson, "The word problem for finitely generated soluble groups of finite rank", Bull. London Math. Soc. 16 (1984), pp. 43–46.

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Formanek, "Conjugacy separability in polycyclic groups", J. Algebra 42 (1976), pp. 1–10, MR54:7626.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  5. O.G. Harlampovič, "A finitely presented soluble group with insoluble word problem", Izv. Akad. Nauk SSSR 45 (1981), pp. 852–873, 928 (Russian), MR82m:20036.

    Google Scholar 

  6. V. Huber-Dyson, "Finiteness conditions and the word problem", Groups — St. Andrews 1981 (London Math. Soc. Lecture Notes 71, 1982), pp. 244–251.

    Google Scholar 

  7. S.C. Jeanes and J.S. Wilson, "On finitely generated groups with many profinite-closed subgroups", Arch. Math. (Basel) 31 (1978), pp. 120–122, MR80b:20038.

    Article  MathSciNet  MATH  Google Scholar 

  8. A.I. Mal’cev, "On homomorphisms into finite groups", Učen. zap. Ivanov. ped. inst. 18 (1958), pp. 49–60 (Russian).

    Google Scholar 

  9. V.N. Remeslennikov, "Conjugacy in polycyclic groups", Algebra i Logika 8 (1969), pp. 712–725 (Russian), MR43:6313.

    MathSciNet  Google Scholar 

  10. D.J.S. Robinson, "On the cohomology of soluble groups of finite rank", J. Pure Appl. Algebra 6 (1975), pp. 155–164, MR52:3363.

    Article  MathSciNet  MATH  Google Scholar 

  11. B.A.F. Wehrfritz, "Two examples of soluble groups that are not conjugacy separable", J. London Math. Soc. (2) 7 (1973), pp. 312–316, MR49:2942.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ann Chi Kim Bernhard H. Neumann

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Robinson, D.J.S. (1984). Decision problems for infinite soluble groups. In: Kim, A.C., Neumann, B.H. (eds) Groups — Korea 1983. Lecture Notes in Mathematics, vol 1098. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099668

Download citation

  • DOI: https://doi.org/10.1007/BFb0099668

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13890-7

  • Online ISBN: 978-3-540-39102-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics