Classgroups of Group Rings / (Record no. 41264)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02532nam a22003978a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781107325555 (ebook) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.22 |
| 245 00 - TITLE STATEMENT | |
| Title | Classgroups of Group Rings / |
| Statement of responsibility, etc | Edited by Martin J. Taylor. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 1984. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (136 pages) : |
| Other physical details | digital, PDF file(s). |
| 490 0# - SERIES STATEMENT | |
| Series statement | London Mathematical Society Lecture Note Series ; |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group rings |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Class groups (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Modules (Algebra) |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Taylor, Martin J., |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9781107325555 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 1984. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK11970 | http://dx.doi.org/10.1017/CBO9781107325555 | E-BOOKS |