Topics in Finite Groups

Klappentext These notes derive from a course of lectures delivered at the University of Florida in Gainesville during 1971/2. Zusammenfassung These notes derive from a course of lectures delivered at the University of Florida in Gainesville during 1971/2. Dr Gagen presents a simplified treatment of recent work by H. Bender on the classification of non-soluble groups with abelian Sylow 2-subgroups! together with some background material of wide interest. Inhaltsverzeichnis 1. Baer's Theorem; 2. A theorem of Blackburn; 3. A theorem of Bender; 4. The Transitivity Theorem; 5. The Uniqueness Theorem; 6. The case; 7. The proof of the Uniqueness Theorem 5.1; 8. The Burnside paqb- Theorem, p, q odd; 9. Matsuyama's proof of the paqb -Theorem, p = 2; 10. A generalization of the Fitting subgroup; 11. Groups with abelian Sylow 2-subgroups; 12. Preliminary lemmas; 13. Properties of A*-groups; 14. Proof of the Theorem A, Part I; 15. Proof of the Theorem A, Part II.

Dettagli sul prodotto

• Autori: Terence M. Gagen, Terrence Gagen
• Con la collaborazione di: N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 01.04.1976
• EAN: 9780521210027
• ISBN: 978-0-521-21002-7
• Pagine: 96
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra