Notes on Infinite Permutation Groups

  • Authors
  • Meenaxi Bhattacharjee
  • Dugald Macpherson
  • Rögnvaldur G. Möller
  • Peter M. Neumann
Part of the Lecture Notes in Mathematics book series (LNM, volume 1698)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 1-8
  3. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 9-18
  4. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 19-30
  5. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 31-38
  6. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 39-48
  7. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 49-56
  8. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 57-66
  9. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 67-76
  10. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 77-86
  11. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 87-97
  12. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 99-113
  13. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 115-129
  14. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 131-142
  15. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 143-158
  16. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 159-170
  17. Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 171-180
  18. Back Matter
    Pages 181-202

About this book

Introduction

The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.

Keywords

Group theory Jordan group automorphism group combinatorics homogeneous structures model Theory permutation group

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092550
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64965-6
  • Online ISBN 978-3-540-49813-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book