Finite Group Theory - Brossura

Aschbacher, Michael

Brossura

ISBN 10: 0521458269 ISBN 13: 9780521458269

Casa editrice: Cambridge University Press, 1994

Riassunto

This book covers the theory of finite groups, including the Classification Theorem and classical linear groups.

Su questo libro

Descrizione del libro

The foundations of the theory of finite groups are developed in this book. Unifying themes include the Classification Theorem and the classical linear groups. Lie theory appears in chapters on Coxeter groups, root systems, buildings and Tits systems. There is a new proof of the Solvable Signalizer Functor theorem and a brief outline of the proof of the Classification Theorem itself.

Contenuti

1. Preliminary results; 2. Permutation representations; 3. Representation of groups on groups; 4. Linear representations; 5. Permutation groups; 6. Extensions of groups and modules; 7. Spaces with forms; 8. p-groups; 9. Change of field of a linear representation; 10. Presentation of groups; 11. The generalized Fitting subgroup; 12. Linear representation of finite groups; 13. Transfer and fusion; 14. The geometry of groups of Lie type; 15. Signalizer functors; 16. Finite simple groups; References; List of symbols; Index.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 0521458269
• ISBN 13: 9780521458269
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 288
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia