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  • © 1998

Notes on Infinite Permutation Groups

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1698)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XI
  2. Some group theory

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 1-8
  3. Groups acting on sets

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 9-18
  4. Transitivity

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 19-30
  5. Primitivity

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 31-38
  6. Suborbits and orbitals

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 39-48
  7. More about symmetric groups

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 49-56
  8. Linear groups

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 57-66
  9. Wreath products

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 67-76
  10. Rational numbers

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 77-86
  11. Jordan groups

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 87-97
  12. Examples of Jordan groups

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 99-113
  13. Relations related to betweenness

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 115-129
  14. Classification theorems

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 131-142
  15. Homogeneous structures

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 143-158
  16. The Hrushovski construction

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 159-170
  17. Applications and open questions

    • Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann
    Pages 171-180
  18. Back Matter

    Pages 181-202

About this book

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

  • Book Title: Notes on Infinite Permutation Groups

  • Authors: Meenaxi Bhattacharjee, Dugald Macpherson, Rögnvaldur G. Möller, Peter M. Neumann

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092550

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-64965-6Published: 20 November 1998

  • eBook ISBN: 978-3-540-49813-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 206

  • Additional Information: Jointly published with Hindustan Book Agency, New Dehli, India, 1997

  • Topics: Group Theory and Generalizations

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
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