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Author Peterfalvi, Thomas, author
Title Character theory for the odd order theorem / Thomas Peterfalvi ; translated by Robert Sandling
Imprint Cambridge : Cambridge University Press, 2000
book jacket
Descript 1 online resource (vii, 154 pages) : digital, PDF file(s)
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
text file PDF rda
Series London Mathematical Society lecture note series ; 272
London Mathematical Society lecture note series ; 272
Note Title from publisher's bibliographic system (viewed on 05 Oct 2015)
"First published in French by Asterisque as Theorie des characteres dans le theoreme de Feit et Thompson and Le theorem de Bender-Suzuki II"--Title page verso
pt. I. Character Theory for the Odd Order Theorem. 1. Preliminary Results from Character Theory. 2. The Dade Isometry. 3. T1-Subsets with Cyclic Normalizers. 4. The Dade Isometry for a Certain Type of Subgroup. 5. Coherence. 6. Some Coherence Theorems. 7. Non-existence of a Certain Type of Group of Odd Order. 8. Structure of a Minimal Simple Group of Odd Order. 9. On the Maximal Subgroups of G of Types II, III and IV. 10. Maximal Subgroups of Types III, IV and V. 11. Maximal Subgroups of Types III and IV. 12. Maximal Subgroups of Type I. 13. The Subgroups S and T. 14. Non-existence of G -- pt. II. A Theorem of Suzuki. Ch. I. General Properties of G. 1. Consequences of Hypothesis (A1). 2. The Structure of Q and of K
The famous and important 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 part appeared in Bender and Glauberman's Local Analysis for the Odd Order Theorem which was number 188 in this series. This book, first published in 2000, provides the character-theoretic second part and thus completes the proof. Also included here is a revision of a theorem of Suzuki on split BN-pairs of rank one; a prerequisite for the classification of finite simple groups. All researchers in group theory should have a copy of this book in their library
Subject Feit-Thompson theorem
Finite groups
Characters of groups
Alt Author Sandling, Robert, translator
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