Local Analysis for the Odd Order Theorem / Helmut Bender, George Glauberman.

By: Bender, Helmut [author.]Contributor(s): Glauberman, George [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 188Publisher: Cambridge : Cambridge University Press, 1995Description: 1 online resource (188 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511665592 (ebook)Subject(s): Feit-Thompson theorem | Solvable groupsAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA177 | .B46 1994Online resources: Click here to access online Summary: 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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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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