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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 tourdeforce 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 FeitThompson theorem. Simpler, more detailed proofs are provided for some intermediate theorems. Recent results are used to shorten other proofs.
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