Representations of solvable groups
著者
書誌事項
Representations of solvable groups
(London Mathematical Society lecture note series, 185)
Cambridge University Press, 1993
大学図書館所蔵 件 / 全74件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 293-298) and index
内容説明・目次
内容説明
Representation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer.
目次
- Preliminaries
- 1. Solvable subgroups of linear groups
- 2. Solvable permutation groups
- 3. Module actions with large centralizers
- 4. Prime power divisors of character degrees
- 5. Complexity of character degrees
- 6. p-special characters.
「Nielsen BookData」 より