Character Theory for the Odd Order Theorem

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The famous theorem of W. Feit and J. G. Thompson states that every group of odd order is solvable, and the proof of this has roughly two parts. The first appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem, number 188 in this series. The present book provides the character-theoretic second part and completes the proof. Thomas Peterfalvi also offers a revision of a theorem of Suzuki on split BN-pairs of rank one, a prerequisite for the classification of finite simple groups.

Author(s): Thomas Peterfalvi
Series: London Mathematical Society Lecture Note Series 272
Publisher: Cambridge University Press
Year: 2000

Language: English
Pages: 163