Helmut Bender,
Helmut (Christian-Albrechts Universitat zu Kiel, Germany) Bender,
George Glauberman,
George (University of Chicago) Glauberman
e.a.
Cambridge University Press
e druk, 1995
9780521457163
Local Analysis for the Odd Order Theorem
Specificaties
Paperback, 188 blz.
|
Engels
Cambridge University Press |
e druk, 1995
ISBN13: 9780521457163
Rubricering
Onderdeel van serie
London Mathematical
Levertijd ongeveer 8 werkdagen
Samenvatting
In 1963 Walter Feit and John G. Thompson published a proof of a 1911 conjecture by Burnside that every finite group of odd order is solvable. This proof, which ran for 255 pages, was a tour-de-force of mathematics and inspired intense effort to classify finite simple groups. This book presents a revision and expansion of the first half of the proof of the Feit–Thompson theorem. Simpler, more detailed proofs are provided for some intermediate theorems. Recent results are used to shorten other proofs. The book will make the first half of this remarkable proof accessible to readers familiar with just the rudiments of group theory.
Specificaties
ISBN13:9780521457163
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:188
Uitgever:Cambridge University Press
Serie:London Mathematical
Inhoudsopgave
Part I. Preliminary Results: 1. Notation and elementary properties of solvable groups; 2. General results on representations; 3. Actions of Frobenius groups and related results; 4. p-Groups of small rank; 5. Narrow p-groups; 6. Additional results; Part II. The Uniqueness Theorem: 7. The transitivity theorem; 8. The fitting subgroup of a maximal subgroup; 9. The uniqueness theorem; Part III. Maximal Subgroups: 10. The subgroups Ma and Me; 11. Exceptional maximal subgroups; 12. The subgroup E; 13. Prime action; Part IV. The Family of All Maximal Subgroups of G: 14. Maximal subgroups of type p and counting arguments; 15. The subgroup Mf; 16. The main results; Appendix; Prerequisites and p-stability.