Skip to main content

The blocks of the general linear group GL(n,q)

  • Group Theory
  • Conference paper
  • First Online:
Algebra Carbondale 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 848))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. C. W. Curtis, "Representations of finite groups of Lie type", Bull, Amer. Math. Soc. (N.S.) 1(1979), 721–757.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. C. Dade, "Blocks with cyclic defect groups", Ann. of Math. 84(1966), 20–48.

    Article  MathSciNet  MATH  Google Scholar 

  3. P. Deligne and G. Lusztig, "Representations of reductive groups over finite fields", Ann. of Math. 103(1976), 103–161.

    Article  MathSciNet  MATH  Google Scholar 

  4. P. Fong and B. Srinivasan, "Blocks with cyclic defect groups in GL(n,q)", Preprint, University of Illinois at Chicago Circle.

    Google Scholar 

  5. J. A. Green, "The characters of the finite general linear groups", Trans. Amer. Math. Soc. 80(1955), 402–447.

    Article  MathSciNet  MATH  Google Scholar 

  6. G. D. James, The representation theory of the symmetric group, Lecture Notes in Math. vol. 682, Springer-Verlag.

    Google Scholar 

  7. G. Lusztig, "On the finiteness of the number of unipotent classes", Invent. Math. 34(1976), 201–213.

    Article  MathSciNet  MATH  Google Scholar 

  8. G. Lusztig and B. Srinivasan, "The characters of the finite unitary groups", J. Algebra 49(1977), 167–171.

    Article  MathSciNet  MATH  Google Scholar 

  9. N. Meier and J. Tappe, "Ein Neuer Beweis der Nakayama-Vermutung über die Block structur symmetrisher gruppen", Bull. London Math. Soc. 8(1976), 34–37.

    Article  MathSciNet  MATH  Google Scholar 

  10. J. B. Olsson, "On the blocks of GL(n,q), 1", Trans. Amer. Math. Soc. 221(1976), 143–156.

    MathSciNet  MATH  Google Scholar 

  11. W. F. Reynolds, "Blocks and normal subgroups of finite groups", Nagoya Math. J. 22(1963), 15–32.

    Article  MathSciNet  MATH  Google Scholar 

  12. B. Srinivasan, Representations of finite Chevalley groups, Lecture Notes in Math. vol. 764, Springer-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ralph K. Amayo

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Srinivasan, B. (1981). The blocks of the general linear group GL(n,q). In: Amayo, R.K. (eds) Algebra Carbondale 1980. Lecture Notes in Mathematics, vol 848. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090562

Download citation

  • DOI: https://doi.org/10.1007/BFb0090562

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10573-2

  • Online ISBN: 978-3-540-38549-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics