Book 2009

A Course on Finite Groups

Authors:

ISBN: 978-1-84882-888-9 (Print) 978-1-84882-889-6 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XII

  2. No Access

    Chapter

    Pages 1-10

    Introduction—The Group Concept

  3. No Access

    Chapter

    Pages 11-40

    Elementary Group Properties

  4. No Access

    Chapter

    Pages 41-65

    Group Construction and Representation

  5. No Access

    Chapter

    Pages 67-90

    Homomorphisms

  6. No Access

    Chapter

    Pages 91-111

    Action and the Orbit–Stabiliser Theorem

  7. No Access

    Chapter

    Pages 113-137

    p-Groups and Sylow Theory

  8. No Access

    Chapter

    Pages 139-163

    Products and Abelian Groups

  9. No Access

    Chapter

    Pages 165-185

    Groups of Order 24 Three Examples

  10. No Access

    Chapter

    Pages 187-207

    Series, Jordan–Hölder Theorem and the Extension Problem

  11. No Access

    Chapter

    Pages 209-227

    Nilpotency

  12. No Access

    Chapter

    Pages 229-247

    Solubility

  13. No Access

    Chapter

    Pages 249-275

    Simple Groups of Order Less than 10000

  14. No Access

    Chapter

    Pages 277-295

    Appendices A to E

  15. Back Matter

    Pages 297-311