Book contents
- Frontmatter
- Cotents
- Preface
- Part I Character Theory for the Odd Order Theorem
- Introduction
- Notation
- 1 Preliminary Results from Character Theory
- 2 The Dade Isometry
- 3 TI-Subsets with Cyclic Normalizers
- 4 The Dade Isometry for a Certain Type of Subgroup
- 5 Coherence
- 6 Some Coherence Theorems
- 7 Non-existence of a Certain Type of Group of Odd Order
- 8 Structure of a Minimal Simple Group of Odd Order
- 9 On the Maximal Subgroups of G of Types II, III and IV
- 10 Maximal Subgroups of Types III, IV and V
- 11 Maximal Subgroups of Types III and IV
- 12 Maximal Subgroups of Type I
- 13 The Subgroups S and T
- 14 Non-existence of G
- Notes
- References
- Part II A Theorem of Suzuki
- Appendix I A Special Case of a Theorem of Huppert
- Appendix II On Near-Fields
- Appendix III On Suzuki 2-Groups
- Appendix IV The Feit-Sibley Theorem
- References
- Index to Parts I and II
2 - The Dade Isometry
Published online by Cambridge University Press: 05 September 2013
Translated by
Book contents
- Frontmatter
- Cotents
- Preface
- Part I Character Theory for the Odd Order Theorem
- Introduction
- Notation
- 1 Preliminary Results from Character Theory
- 2 The Dade Isometry
- 3 TI-Subsets with Cyclic Normalizers
- 4 The Dade Isometry for a Certain Type of Subgroup
- 5 Coherence
- 6 Some Coherence Theorems
- 7 Non-existence of a Certain Type of Group of Odd Order
- 8 Structure of a Minimal Simple Group of Odd Order
- 9 On the Maximal Subgroups of G of Types II, III and IV
- 10 Maximal Subgroups of Types III, IV and V
- 11 Maximal Subgroups of Types III and IV
- 12 Maximal Subgroups of Type I
- 13 The Subgroups S and T
- 14 Non-existence of G
- Notes
- References
- Part II A Theorem of Suzuki
- Appendix I A Special Case of a Theorem of Huppert
- Appendix II On Near-Fields
- Appendix III On Suzuki 2-Groups
- Appendix IV The Feit-Sibley Theorem
- References
- Index to Parts I and II
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Character Theory for the Odd Order Theorem , pp. 10 - 14Publisher: Cambridge University PressPrint publication year: 2000