Download e-book for iPad: Classgroups of Group Rings (London Mathematical Society by Martin J. Taylor

By Martin J. Taylor

This e-book is a self-contained account of the idea of classgroups of staff jewelry. The guiding philosophy has been to explain the entire easy homes of such classgroups when it comes to personality capabilities. This perspective is because of A. Frohlich and it achieves a substantial simplification and readability over past options. a primary function of the e-book is the creation of the author's team logarithm, with a number of examples of its program. the most effects handled are: Ullom's conjecture for Swan modules of p-groups; the self-duality theorem for jewelry of integers of tame extensions; the fixed-point theorem for determinants of workforce jewelry; the lifestyles of Adams operations on classgroups. additionally, the writer features a variety of calculations of classgroups of particular households of teams resembling generalized dihedral teams, and quaternion and dihedral 2-groups. The paintings contained during this booklet may be conveniently available to any graduate scholar in natural arithmetic who has taken a direction within the illustration conception of finite teams. it's going to even be of curiosity to quantity theorists and algebraic topologists.

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Classgroups of Group Rings (London Mathematical Society Lecture Note Series) by Martin J. Taylor

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