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Character theory for the odd order theoremThomas Peterfalvi ; translated by Robert Sandling.

By: Material type: TextTextLanguage: English Original language: French Series: Publication details: Cambridge ; New York : Cambridge University Press, (c)2000.Description: 1 online resource (vii, 154 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107089198
Subject(s): Genre/Form: LOC classification:
  • QA177 .C437 2000
Online resources: Available additional physical forms:
Contents:
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.
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"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.

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