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Geometries and Groups

Proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noordwijkerhout, Holland, March 1986

  • M. Aschbacher
  • A. M. Cohen
  • W. M. Kantor

Table of contents

  1. Front Matter
    Pages i-2
  2. Diagram Geometries and Chamber Systems with Transitive Groups

    1. Front Matter
      Pages 3-3
    2. F. G. Timmesfeld
      Pages 5-70
    3. G. Stroth
      Pages 71-120
    4. William M. Kantor
      Pages 121-145
    5. Thomas Meixner
      Pages 147-157
  3. Incidence Systems

    1. Front Matter
      Pages 221-221
    2. Ernest Shult
      Pages 223-268
    3. Francis Buekenhout, Dominique Buset
      Pages 269-296
    4. P. J. Cameron
      Pages 339-351
  4. Chevalley Groups

    1. Front Matter
      Pages 353-353
    2. Stephen D. Smith
      Pages 355-373
    3. Peter B. Kleidman, Martin W. Liebeck
      Pages 375-389
    4. Peter B. Gilkey, Gary M. Seitz
      Pages 407-416
    5. Michael Aschbacher
      Pages 417-465
    6. Arjeh M. Cohen, Bruce N. Cooperstein
      Pages 467-480
  5. Graphs and Groups

    1. Front Matter
      Pages 481-481
    2. Simon P. Norton
      Pages 483-501
    3. Gernot Stroth, Richard Weiss
      Pages 513-525
    4. A. Blokhuis, A. E. Brouwer
      Pages 527-533

About these proceedings

Introduction

The workshop was set up in order to stimulate the interaction between (finite and algebraic) geometries and groups. Five areas of concentrated research were chosen on which attention would be focused, namely: diagram geometries and chamber systems with transitive automorphism groups, geometries viewed as incidence systems, properties of finite groups of Lie type, geometries related to finite simple groups, and algebraic groups. The list of talks (cf. page iii) illustrates how these subjects were represented during the workshop. The contributions to these proceedings mainly belong to the first three areas; therefore, (i) diagram geometries and chamber systems with transitive automorphism groups, (ii) geometries viewed as incidence systems, and (iii) properties of finite groups of Lie type occur as section titles. The fourth and final section of these proceedings has been named graphs and groups; besides some graph theory, this encapsules most of the work related to finite simple groups that does not (explicitly) deal with diagram geometry. A few more words about the content: (i). Diagram geometries and chamber systems with transitive automorphism groups. As a consequence of Tits' seminal work on the subject, all finite buildings are known. But usually, in a situation where groups are to be characterized by certain data concerning subgroups, a lot less is known than the full parabolic picture corresponding to the building.

Keywords

Area Finite Lie Maxima Morphism Node.js algebra character classification diagrams presentation reflection representation theory set techniques

Editors and affiliations

  • M. Aschbacher
    • 1
  • A. M. Cohen
    • 2
  • W. M. Kantor
    • 3
  1. 1.CalTechPasadenaUSA
  2. 2.CWIAmsterdamThe Netherlands
  3. 3.IASPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-4017-8
  • Copyright Information Springer Science+Business Media B.V. 1988
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8282-2
  • Online ISBN 978-94-009-4017-8
  • Buy this book on publisher's site