Character theory for the odd order theorem /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Peterfalvi, Thomas
Formato: Electrónico eBook
Idioma:Inglés
Francés
Publicado: Cambridge ; New York : Cambridge University Press, 2000.
Colección:London Mathematical Society lecture note series ; 272.
Temas:
Feit-Thompson theorem.
Finite groups.
Characters of groups.
Théorème de Feit et Thompson.
Groupes finis.
Caractères de groupes.
MATHEMATICS > General.
Characters of groups
Feit-Thompson theorem
Finite groups
Charakter > Gruppentheorie
Feit-Thompson-Theorem
Endliche Gruppe
Eindige groepen.
Characters.
Grupos finitos.
Álgebra.
Feit-Thompson, Théorème de.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • pt. I. Character Theory for the Odd Order Theorem. 1. Preliminary Results from Character Theory. 2. The Dade Isometry. 3. T1-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
  • 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.

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