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Representations of solvable groups /
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 obtai...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©1993.
|
| Colección: | London Mathematical Society lecture note series ;
185. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Manz, Olaf. | |
| 245 | 1 | 0 | |a Representations of solvable groups / |c Olaf Manz and Thomas R. Wolf. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©1993. | ||
| 300 | |a 1 online resource (xi, 302 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 185 | |
| 504 | |a Includes bibliographical references (pages 293-298) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 505 | 0 | |a 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 | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Solvable groups. | |
| 650 | 0 | |a Representations of groups. | |
| 650 | 0 | |a Permutation groups. | |
| 650 | 6 | |a Groupes résolubles. | |
| 650 | 6 | |a Représentations de groupes. | |
| 650 | 6 | |a Groupes de permutations. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Permutation groups |2 fast | |
| 650 | 7 | |a Representations of groups |2 fast | |
| 650 | 7 | |a Solvable groups |2 fast | |
| 650 | 7 | |a Auflösbare Gruppe |2 gnd | |
| 650 | 7 | |a Darstellung |g Mathematik |2 gnd | |
| 650 | 7 | |a Endliche auflösbare Gruppe |2 gnd | |
| 650 | 7 | |a Darstellungstheorie |2 gnd | |
| 650 | 1 | 7 | |a Groepen (wiskunde) |2 gtt |
| 650 | 7 | |a Représentations de groupes. |2 ram | |
| 650 | 7 | |a Groupes de permutation. |2 ram | |
| 700 | 1 | |a Wolf, Thomas R. | |
| 776 | 0 | 8 | |i Print version: |a Manz, Olaf. |t Representations of solvable groups. |d Cambridge ; New York : Cambridge University Press, ©1993 |z 0521397391 |w (DLC) 94112292 |w (OCoLC)28981606 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 185. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552410 |z Texto completo |
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