Classgroups and Hermitian Modules

Name: Classgroups and Hermitian Modules
Brand: Springer, Basel
SKU: 9781468467420
Price: 21101 HUF
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Szerző: Albrecht Fröhlich

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Basel

Elérhetőség: Beszállítói készleten alacsony példányszámban

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These notes are an expanded and updated version of a course of lectures which I gave at King's Colle...

Információk a könyvről

Szerző

Albrecht Fröhlich

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2012

oldal

226

EAN

9781468467420

ISBN

1468467425

Enbook ID

02232870

Kiadó

Springer, Basel

Súly

368

Méretek

163 x 232 x 15

Teljes leírás

These notes are an expanded and updated version of a course of lectures which I gave at King's College London during the summer term 1979. The main topic is the Hermitian classgroup of orders, and in particular of group rings. Most of this work is published here for the first time. The primary motivation came from the connection with the Galois module structure of rings of algebraic integers. The principal aim was to lay the theoretical basis for attacking what may be called the "converse problem" of Galois module structure theory: to express the symplectic local and global root numbers and conductors as algebraic invariants. A previous edition of these notes was circulated privately among a few collaborators. Based on this, and following a partial solution of the problem by the author, Ph. Cassou-Nogues and M. Taylor succeeded in obtaining a complete solution. In a different direction J. Ritter published a paper, answering certain character theoretic questions raised in the earlier version. I myself disapprove of "secret circulation", but the pressure of other work led to a delay in publication; I hope this volume will make amends. One advantage of the delay is that the relevant recent work can be included. In a sense this is a companion volume to my recent Springer-Ergebnisse-Bericht, where the Hermitian theory was not dealt with. Our approach is via "Hom-groups", analogous to that followed in recent work on locally free classgroups.

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Classgroups and Hermitian Modules

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