Book Volume 2127 2014

Blocks of Finite Groups and Their Invariants

Authors:

ISBN: 978-3-319-12005-8 (Print) 978-3-319-12006-5 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiii

  2. Fundamentals

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-17

      Definitions and Facts

    3. No Access

      Chapter

      Pages 19-22

      Open Conjectures

  3. General Results and Methods

    1. Front Matter

      Pages 23-23

    2. No Access

      Chapter

      Pages 25-32

      Quadratic Forms

    3. No Access

      Chapter

      Pages 33-46

      The Cartan Method

    4. No Access

      Chapter

      Pages 47-61

      A Bound in Terms of Fusion Systems

    5. No Access

      Chapter

      Pages 63-70

      Essential Subgroups and Alperin’s Fusion Theorem

    6. No Access

      Chapter

      Pages 71-78

      Reduction to Quasisimple Groups and the Classification

  4. Applications

    1. Front Matter

      Pages 79-79

    2. No Access

      Chapter

      Pages 81-94

      Metacyclic Defect Groups

    3. No Access

      Chapter

      Pages 95-125

      Products of Metacyclic Groups

    4. No Access

      Chapter

      Pages 127-157

      Bicyclic Groups

    5. No Access

      Chapter

      Pages 159-165

      Defect Groups of p-Rank 2

    6. No Access

      Chapter

      Pages 167-179

      Minimal Non-abelian Defect Groups

    7. No Access

      Chapter

      Pages 181-203

      Small Defect Groups

    8. No Access

      Chapter

      Pages 205-217

      Abelian Defect Groups

    9. No Access

      Chapter

      Pages 219-227

      Blocks with Few Characters

  5. Back Matter

    Pages 229-246