ORPP logo
Image from Google Jackets

Permutation Groups.

By: Contributor(s): Material type: TextTextSeries: Graduate Texts in Mathematics SeriesPublisher: New York, NY : Springer New York, 1996Copyright date: ©1996Edition: 1st edDescription: 1 online resource (360 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781461207313
Subject(s): Genre/Form: Additional physical formats: Print version:: Permutation GroupsDDC classification:
  • 512/.2
LOC classification:
  • QA612.33
Online resources:
Contents:
Graduate Texts in Mathematics -- Permutation Groups -- Copyright -- Preface -- Contents -- Notation -- 1 The Basic Ideas -- 2 Examples and Constructions -- 3 The Action of a Permutation Group -- 4 The Structure of a Primitive Group -- 5 Bounds on Orders of Permutation Groups -- 6 The Mathieu Groups and Steiner Systems -- 7 Multiply Transitive Groups -- 8 The Structure of the Symmetric Groups -- 9 Examples and Applications of Infinite Permutation Groups -- Appendix A Classification of Finite Simple Groups -- Appendix B The Primitive Permutation Groups of Degree Less than 1000 -- References -- Index.
Summary: Using basic ideas and examples in the theory of permutation groups, this book develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the O'Nan-Scott Theorem, linking finite primitive groups and finite simple groups.
Tags from this library: No tags from this library for this title. Log in to add tags.
Star ratings
    Average rating: 0.0 (0 votes)
No physical items for this record

Graduate Texts in Mathematics -- Permutation Groups -- Copyright -- Preface -- Contents -- Notation -- 1 The Basic Ideas -- 2 Examples and Constructions -- 3 The Action of a Permutation Group -- 4 The Structure of a Primitive Group -- 5 Bounds on Orders of Permutation Groups -- 6 The Mathieu Groups and Steiner Systems -- 7 Multiply Transitive Groups -- 8 The Structure of the Symmetric Groups -- 9 Examples and Applications of Infinite Permutation Groups -- Appendix A Classification of Finite Simple Groups -- Appendix B The Primitive Permutation Groups of Degree Less than 1000 -- References -- Index.

Using basic ideas and examples in the theory of permutation groups, this book develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the O'Nan-Scott Theorem, linking finite primitive groups and finite simple groups.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

There are no comments on this title.

to post a comment.

© 2024 Resource Centre. All rights reserved.