Classgroups of Group Rings is popular PDF and ePub book, written by Martin J. Taylor in 1984-04-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Classgroups of Group Rings can be Read Online from any device for your convenience.
Classgroups of Group Rings Book PDF Summary
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.
Detail Book of Classgroups of Group Rings PDF
- Author : Martin J. Taylor
- Release : 12 April 1984
- Publisher : Cambridge University Press
- ISBN : 9780521278706
- Genre : Mathematics
- Total Page : 137 pages
- Language : English
- PDF File Size : 10,8 Mb
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