Skip to main content

Constructions of chamber systems of type M with transitive automorphism group

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1181)

Keywords

  • Finite Group
  • Frobenius Group
  • Chamber System
  • Classical Building
  • Generalize Polygon

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • 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. Aschbacher, M. Finite geometries of type C3 with flag-transitive groups. Geom. Ded. 16, 195–200 (1984)

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. Curtis, C.W., Iwahori N., Kilmoyer R. Hecke algebras and characters of parabolic type of finite groups with (BN)pairs. Inst.Haustes Études Sci.Publ.Math 40 (1972), 81–116.

    CrossRef  Google Scholar 

  3. Kantor, W.M. Some exceptional 2-adic buildings. (to be published in J.Algebra)

    Google Scholar 

  4. Kantor, W.M. Some locally finite flag-transitive buildings. (to be published in Europ. J. Comb.)

    Google Scholar 

  5. Kantor, W.M. Generalized polygons, SCABs and GABs. Proc. Como conf.1984, preprint

    Google Scholar 

  6. Köhler, P., Meixner, Th., Wester, M. The 2-adic affine buildings of type Ã2 and its finite projections. (to be published in J. Comb. Theory)

    Google Scholar 

  7. Köhler, P., Meixner, Th., Wester, M. The affine building of type Ã2 over a local field of characteristic two. Arch. Math. 42, 400–407 (1984)

    CrossRef  MATH  Google Scholar 

  8. Meixner, Th. Gruppen mit parabolischen Systemen. Habilitationsschrift Gießen (In preparation)

    Google Scholar 

  9. Meixner, Th. chamber Systems with Extended Diagram. Mitteilungen Math.Sem.Giessen, 165 (1984) 93–104 Coxeter-Festschrift III.

    MathSciNet  Google Scholar 

  10. Meixner, Th., Wester, M. Some locally finite buildings derived from Kantor's 2-adic groups. (to be published in Comm.Algebra)

    Google Scholar 

  11. Meixner, Th., Wester, M. A locally finite affine building of type over Q3. (in preparation)

    Google Scholar 

  12. Niles, R. BN-pairs and finite groups with parabolic-type subgroups. J. Algebra 75, 484–494 (1982)

    CrossRef  MATH  MathSciNet  Google Scholar 

  13. Seitz, G. Flag-Transitive Subgroups of Chevalley-Groups. Ann. Math. 97, 27–56 (1973)

    CrossRef  MATH  MathSciNet  Google Scholar 

  14. Timmesfeld, F.G. Tits geometries and parabolic systems in finitely generated groups I,II. Math. Z. 184, 377–396, 449–487 (1983)

    CrossRef  MATH  MathSciNet  Google Scholar 

  15. Timmesfeld, F.G. On the "Non-Existence" of Flag-Transitive Triangle Geometries. Mitteilungen Math.Sem.Giessen, 163, 19–44 (1984)

    MathSciNet  Google Scholar 

  16. Timmesfeld, F.G. Tits Chamber Systems and Finite Group Theory. Proc. Como Conf. (1984), preprint

    Google Scholar 

  17. Tits, J. A Local Approach to Buildings. The Geometric Vein (Coxeter Festschrift), 519–547 New York, Heidelberg, Berlin. Springer 1982

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Meixner, T. (1986). Constructions of chamber systems of type M with transitive automorphism group. In: Rosati, L.A. (eds) Buildings and the Geometry of Diagrams. Lecture Notes in Mathematics, vol 1181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075516

Download citation

  • DOI: https://doi.org/10.1007/BFb0075516

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16466-1

  • Online ISBN: 978-3-540-39801-1

  • eBook Packages: Springer Book Archive