Character theory for the odd order theoremThomas Peterfalvi ; translated by Robert Sandling.
- Cambridge ; New York : Cambridge University Press, (c)2000.
- 1 online resource (vii, 154 pages)
- London Mathematical Society lecture note series ; 272 .
"First published in French by Astérisque as Théorie des charactéres dans le théoreme de Feit et Thompson and Le théorem de Bender-Suzuki II"--T.p. verso.
Includes bibliographies and index.
Character Theory for the Odd Order Theorem. -- Preliminary Results from Character Theory. -- The Dade Isometry. -- T1-Subsets with Cyclic Normalizers. -- The Dade Isometry for a Certain Type of Subgroup. -- Coherence. -- Some Coherence Theorems. -- Non-existence of a Certain Type of Group of Odd Order. -- Structure of a Minimal Simple Group of Odd Order. -- On the Maximal Subgroups of G of Types II, III and IV. -- Maximal Subgroups of Types III, IV and V. -- Maximal Subgroups of Types III and IV. -- Maximal Subgroups of Type I. -- The Subgroups S and T. -- Non-existence of G -- A Theorem of Suzuki. -- General Properties of G. -- Consequences of Hypothesis (A1). -- The Structure of Q and of K.
9781107089198
Feit-Thompson theorem. Finite groups. Characters of groups.