Skip to main content
SpringerLink
Log in

Regular Orbits and the k(GV)-Problem

  • Conference paper
Groups and Geometries

Part of the book series: Trends in Mathematics ((TM))

  • 232 Accesses

Abstract

We describe some recent results concerning regular orbits of quasisimple groups in coprime representations, and discuss an application to the k(GV)-problem in modular representation theory.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. P. Fong, “On the characters of p-solvable groups”, Trans. Amer. Math. Soc. 98 (1961), 263–284.

    MathSciNet  MATH  Google Scholar 

  2. D. Gluck, “On the k(GV)-problem”, J. Algebra 89 (1984), 46–55.

    Article  MathSciNet  MATH  Google Scholar 

  3. R. Gow, “On the number of characteris in a block and the k(GV)-problem for self-dual V”, J. London Math. Soc. 48 (1993), 441–451

    Article  MathSciNet  MATH  Google Scholar 

  4. R. Guralnick and J. Saxl, “Generation of classical groups by conjugates”, to appear.

    Google Scholar 

  5. J. Hall, M.W. Liebeck and G.M. Seitz, “Generators for finite simple groups, with applications to linear groups”, Quart. J. Math. 43 (1992), 441–458.

    Article  MathSciNet  MATH  Google Scholar 

  6. R. Knorr, “On the number of characters in a block of a p-solvable group”, Illinois J. Math. 28 (1984), 181–210.

    MathSciNet  Google Scholar 

  7. R. Knorr, “On Brauer’s k(B)-conjecture”, J. Algebra 131 (1990), 444–450.

    Article  MathSciNet  Google Scholar 

  8. V. Landazuri and G.M. Seitz, “On the minimal degrees of projective representations of the finite Chevalley groups”, J. Algebra 32 (1974), 418–443.

    Article  MathSciNet  MATH  Google Scholar 

  9. M.W. Liebeck, “Regular orbits of linear groups”, J. Algebra 184 (1996), 1136–1142.

    Article  MathSciNet  MATH  Google Scholar 

  10. H. Nagao, “On a conjecture of Brauer for p-solvable groups”, J. Math. Osaka City Univ. 13 (1962), 35–38.

    MathSciNet  Google Scholar 

  11. G.R. Robinson, “Further reductions for the k(GV)-problem”, preprint, Univ. of Leicester.

    Google Scholar 

  12. G.R. Robinson and J.G. Thompson, “On Brauer’s k(B)-problem”, J. Algebra 184 (1996), 1143–1160.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, Imperial College, London, SW7 2BZ, UK

    Martin W. Liebeck

Authors
  1. Martin W. Liebeck
    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 Siena, Via del Capitano 15, 53100, Siena, Italy

    Antonio Pasini

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Basel AG

About this paper

Cite this paper

Liebeck, M.W. (1998). Regular Orbits and the k(GV)-Problem. In: di Martino, L., Kantor, W.M., Lunardon, G., Pasini, A., Tamburini, M.C. (eds) Groups and Geometries. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8819-6_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8819-6_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9785-3

  • Online ISBN: 978-3-0348-8819-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation