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Representations of Solvable Groups

Author: Olaf Manz; Thomas R Wolf
Publisher: Cambridge : Cambridge University Press, 1993.
Series: London Mathematical Society lecture note series, no. 185.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
In this book Manz and Wolf concentrate on that part of representation theory which relates to solvable groups.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Olaf Manz; Thomas R Wolf
ISBN: 9780511525971 0511525974 9780521397391 0521397391 9781107366565 1107366569
OCLC Number: 776974318
Notes: Title from publishers bibliographic system (viewed 22 Dec 2011).
Description: 1 online resource (316 pages).
Contents: Cover --
Half-title --
Title --
Copyright --
Contents --
Preface --
Acknowledgments --
Chap. 0 Preliminaries --
Chap. I Solvable subgroups of linear groups --
1 Quasi-primitive linear groups --
2 Semi-linear and small linear groups --
3 Bounds for the order and the derived length of linear groups --
Chap. II Solvable permutation groups --
4 Orbit sizes of p-groups and the existence of regular orbits --
5 Solvable permutation groups and the existence of regular orbits on the power set --
6 Solvable doubly transitive permutation groups. 7 Regular orbits of Sylow subgroups of solvable linear groups --
8 Short orbits of linear groups of odd order --
Chap. Ill Module actions with large centralizers --
9 Sylow centralizers --
the imprimitive case --
10 Sylow centralizers --
the primitive case --
11 Arithmetically large orbits --
Chap. IV Prime power divisors of character degrees --
12 Characters of p'-degree and Brauer's height-zero conjecture --
13 Brauer characters of q'-degree and Ito's theorem --
14 The p-part of character degrees --
15 McKay's conjecture --
Chap. V Complexity of character degrees. 16 Derived length and the number of character degrees --
17 Huppert's <U+0075>-<U+0076>-conjecture --
18 The character degree graph --
19 Coprime group actions and character degrees --
20 Brauer characters --
the modular degree graph --
Chap. VI <U+0073>-special characters --
21 Factorization and restriction of <U+0073>-special characters --
22 Some applications --
character values and Feit's conjecture --
23 Lifting Brauer characters and conjectures of Alperin and McKay --
References --
Index.
Series Title: London Mathematical Society lecture note series, no. 185.
Responsibility: Olaf Manz, Thomas R. Wolf.

Abstract:

The role of representation theory in algebra is an important one and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. Researchers into group theory,  Read more...

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"This is a very readable and coherent expository monograph, aimed at mathematicians and advanced students who desire a thorough knowledge of some of the main topics in the representation theory of Read more...

 
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