Skip to main content
SpringerLink
Log in

Affine Algebraic Sets and Some Infinite Finitely Presented Groups

  • Chapter
Essays in Group Theory

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 8))

Abstract

The object of this note is to prove the following two theorems.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
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. Bieri, R. and Strebei, R., Almost finitely presented solvable groups. Math. Helv. 53 (1978), 258–278.

    Article  MATH  Google Scholar 

  2. Blackburn, N. and Huppert, B., Finite groups II. Grundlehren der mathematischen Wissenschaften 242. Springer-Verlag, Berlin, Heidelberg, New York (1982).

    Google Scholar 

  3. Culler, M. and Shalen, P.B., Varieties of group representations and splittings of 3-manifolds. Annals of Math. 117 (1983), 109–146.

    Article  MathSciNet  MATH  Google Scholar 

  4. Golod, E.S. and Shafarevich, I.R., On the class field tower. Izzv. Akad. Nauuk SSSR 28 (1964), 261–272.

    MATH  Google Scholar 

  5. Haboush, W.J., Reductive groups are geometrically reductive. Ann. Math. 102 (1975), 67–83.

    Article  MathSciNet  MATH  Google Scholar 

  6. Hartshorne, R., Algebraic geometry. Graduate Texts in Mathematics 52. Springer-Verlag, New York (1977).

    MATH  Google Scholar 

  7. Lubotsky, A. and Magid, A., Varieties of representations of finitely generated groups. To appear Memoirs American Math. Soc. 1986.

    Google Scholar 

  8. Procesi, C., Finite dimensional representations of algebras. Israel J. Math. 19 (1974), 169–182.

    Article  MathSciNet  Google Scholar 

  9. Robinson, D.J.S., Finiteness conditions and generalised solvable groups. Springer-Verlag, Berlin, Heidelberg, New York (1972).

    Google Scholar 

  10. Shafarevich, I.R., Basic algebraic geometry. Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 213. Springer-Verlag, New York, Heidelberg, Berlin (1974).

    MATH  Google Scholar 

  11. Tits, J., Free subgroups in linear groups. J. Algebra 20 (1972), 250–270.

    Article  MathSciNet  MATH  Google Scholar 

  12. Wehrfritz, B.A.F., Infinite linear groups. An account of the group-theoretic properties of infinite groups of matrices. Ergebnisse der Math. Bd. 76. Springer-Verlag, Berlin, Heidelberg, New York (1971).

    Google Scholar 

Download references

Authors
  1. Gilbert Baumslag
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peter B. Shalen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112, USA

    S. M. Gersten

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Baumslag, G., Shalen, P.B. (1987). Affine Algebraic Sets and Some Infinite Finitely Presented Groups. In: Gersten, S.M. (eds) Essays in Group Theory. Mathematical Sciences Research Institute Publications, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9586-7_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-9586-7_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9588-1

  • Online ISBN: 978-1-4613-9586-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation