Character Theory for the Odd Order Theorem, v. 272
Character Theory for the Odd Order Theorem (London Mathematical Society Lecture Note Series, v. 272) by T. Peterfalvi
2000 | ISBN: 052164660X | English | 164 pages | PDF | 7 MB
2000 | ISBN: 052164660X | English | 164 pages | PDF | 7 MB
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.