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25 Remote Warehouse Mathematics- Group Theory

Other titles in the London Mathematical Society Lecture Notes series:

London Mathematical Society Lecture Note Series #188: Local Analysis for the Odd Order Theorem

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London Mathematical Society Lecture Note Series #188: Local Analysis for the Odd Order Theorem Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

Local analysis is the study of the centralizers and normalizers of non-identity p-subgroups of a group, with Sylow’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.

Synopsis:

The book presents a new version of the local analysis section of the Feit-Thompson theorem.

Description:

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.

Product Details

ISBN:
9780521457163
Editor:
Cassels, J. W. S.
Author:
Glauberman, George
Editor:
Cassels, J. W. S.
Author:
Bender, Helmut
Author:
Cassels, J. W. S.
Publisher:
Cambridge University Press
Location:
New York
Subject:
Mathematical Analysis
Subject:
Algebra - General
Subject:
Group Theory
Subject:
Solvable groups.
Subject:
Feit-Thompson theorem.
Subject:
Mathematics-Group Theory
Edition Description:
Trade paper
Series:
London Mathematical Society lecture note series ;
Series Volume:
188
Publication Date:
20041231
Binding:
TRADE PAPER
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
188
Dimensions:
9.08x6.06x.47 in. .60 lbs.

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Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Group Theory

London Mathematical Society Lecture Note Series #188: Local Analysis for the Odd Order Theorem New Trade Paper
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Product details 188 pages Cambridge University Press - English 9780521457163 Reviews:
"Synopsis" by , 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.
"Synopsis" by , Local analysis is the study of the centralizers and normalizers of non-identity p-subgroups of a group, with Sylow’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.
"Synopsis" by , The book presents a new version of the local analysis section of the Feit-Thompson theorem.
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