Description 
1 online resource (vii, 154 pages) 
Series 
London Mathematical Society lecture note series ; 272 

London Mathematical Society lecture note series ; 272

Contents 
pt. I. Character Theory for the Odd Order Theorem. 1. Preliminary Results from Character Theory. 2. The Dade Isometry. 3. T1Subsets with Cyclic Normalizers. 4. The Dade Isometry for a Certain Type of Subgroup. 5. Coherence. 6. Some Coherence Theorems. 7. Nonexistence 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. Nonexistence of G  pt. II. A Theorem of Suzuki. Ch. I. General Properties of G. 1. Consequences of Hypothesis (A1). 2. The Structure of Q and of K 
Summary 
The famous and important theorem of W. Feit and J.G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the charactertheoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BNpairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library 
Notes 
"First published in French by Astérisque as Théorie des charactéres dans le théoreme de Feit et Thompson and Le théorem de BenderSuzuki II"Title page verso 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
FeitThompson theorem.


Finite groups.


Characters of groups.


MATHEMATICS  General.


Characters of groups.


FeitThompson theorem.


Finite groups.


Charakter Gruppentheorie


FeitThompsonTheorem


Endliche Gruppe


Eindige groepen.


Characters.


Grupos finitos.


Álgebra.


FeitThompson, Théorème de.


Groupes finis.


Caractères de groupes.

Form 
Electronic book

ISBN 
9781107089198 

1107089190 

9780511565861 

0511565860 

1299748937 

9781299748934 

1139885502 

9781139885508 

1107103509 

9781107103504 

1107095395 

9781107095397 

1107092159 

9781107092150 

1107101026 

9781107101029 
