- Used Books
- Staff Picks
- Gifts & Gift Cards
- Sell Books
- Stores & Events
- Let's Talk Books
Special Offers see all
More at Powell's
Recently Viewed clear list
New Trade Paper
Ships in 1 to 3 days
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Other titles in the London Mathematical Society Lecture Notes series:
London Mathematical Society Lecture Note Series #188: Local Analysis for the Odd Order Theoremby Helmut Bender
Synopses & Reviews
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.
This book presents a new version of the local analysis section of the Feit — Thompson theorem. It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof.
Local analysis is the study of the centralizers and normalizers of non-identity p-subgroups of a group, with Sylowâ€™s theorem as the first main tool. This book presents a new version of the local analysis section of the Feit — Thompson theorem. It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof.
The book presents a new version of the local analysis section of the Feit-Thompson theorem.
Includes bibliographical references (p. 167-168) and index.
Table of Contents
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.
What Our Readers Are Saying
Other books you might like