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Local analysis for the odd order theorem

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 rev...

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Bibliographic Details
Main Authors: Bender, Helmut, Glauberman, G. (Author), Carlip, Walter (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 1994
Series:London Mathematical Society lecture note series
Subjects:
Feit-thompson Theorem
Solvable Groups
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Local analysis for the odd order theorem  |c Helmut Bender and George Glauberman, with the assistance of Walter Carlip 
260 |a Cambridge  |b Cambridge University Press  |c 1994 
300 |a xi, 174 pages  |b digital 
505 0 |a Ch. I. Preliminary Results. 1. 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 -- Ch. II. The Uniqueness Theorem. 7. The Transitivity Theorem. 8. The Fitting Subgroup of a Maximal Subgroup. 9. The Uniqueness Theorem -- Ch. III. Maximal Subgroups. 10. The Subgroups M[subscript [alpha]] and A[subscript [sigma]]. 11. Exceptional Maximal Subgroups. 12. The Subgroup E. 13. Prime Action -- Ch. IV. The Family of All Maximal Subgroups of G. 14. Maximal Subgroups of Type [actual symbol not reproducible] and Counting Arguments. 15. The Subgroup M[subscript F]. 16. The Main Results -- App. A: Prerequisites and p-Stability -- App. B: The Puig Subgroup -- App. C: The Final Contradiction -- App. D: CN-Groups of Odd Order -- App. E: Further Results of Feit and Thompson 
653 |a Feit-Thompson theorem 
653 |a Solvable groups 
700 1 |a Glauberman, G.  |e [author] 
700 1 |a Carlip, Walter  |e [author] 
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490 0 |a London Mathematical Society lecture note series 
856 4 0 |u https://doi.org/10.1017/CBO9780511665592  |x Verlag  |3 Volltext 
082 0 |a 512.2 
520 |a 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 

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