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Classgroups of group rings /
This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clar...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1984.
|
| Colección: | London Mathematical Society lecture note series ;
91. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Taylor, Martin |q (Martin J.) | |
| 245 | 1 | 0 | |a Classgroups of group rings / |c Martin Taylor. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1984. | ||
| 300 | |a 1 online resource (xiii, 119 pages) | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 91 | |
| 504 | |a Includes bibliographical references (pages 117-119). | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 520 | |a This book is a self-contained account of the theory of classgroups of group rings. The guiding philosophy has been to describe all the basic properties of such classgroups in terms of character functions. This point of view is due to A. Frohlich and it achieves a considerable simplification and clarity over previous techniques. A main feature of the book is the introduction of the author's group logarithm, with numerous examples of its application. The main results dealt with are: Ullom's conjecture for Swan modules of p-groups; the self-duality theorem for rings of integers of tame extensions; the fixed-point theorem for determinants of group rings; the existence of Adams operations on classgroups. In addition, the author includes a number of calculations of classgroups of specific families of groups such as generalized dihedral groups, and quaternion and dihedral 2-groups. The work contained in this book should be readily accessible to any graduate student in pure mathematics who has taken a course in the representation theory of finite groups. It will also be of interest to number theorists and algebraic topologists. | ||
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| 650 | 0 | |a Group rings. | |
| 650 | 0 | |a Class groups (Mathematics) | |
| 650 | 0 | |a Modules (Algebra) | |
| 650 | 6 | |a Anneaux de groupes. | |
| 650 | 6 | |a Groupes de classes (Mathématiques) | |
| 650 | 6 | |a Modules (Algèbre) | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Class groups (Mathematics) |2 fast |0 (OCoLC)fst00863430 | |
| 650 | 7 | |a Group rings. |2 fast |0 (OCoLC)fst00948510 | |
| 650 | 7 | |a Modules (Algebra) |2 fast |0 (OCoLC)fst01024523 | |
| 650 | 7 | |a Gruppenring |2 gnd | |
| 650 | 7 | |a Klassengruppe |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Taylor, Martin (Martin J.). |t Classgroups of group rings. |d Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984 |z 0521278708 |w (DLC) 83026167 |w (OCoLC)10277452 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 91. | |
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