Classgroups and Hermitian Modules is popular PDF and ePub book, written by Albrecht Fröhlich in 2012-12-06, 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 and Hermitian Modules can be Read Online from any device for your convenience.
Classgroups and Hermitian Modules Book PDF Summary
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.
Detail Book of Classgroups and Hermitian Modules PDF
- Author : Albrecht Fröhlich
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781468467406
- Genre : Mathematics
- Total Page : 242 pages
- Language : English
- PDF File Size : 10,7 Mb
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