Brauer Type Embedding Problems (Fields Institute Monographs Series #21)

Brauer Type Embedding Problems (Fields Institute Monographs Series #21)

by Arne Ledet
     
 

ISBN-10: 0821837265

ISBN-13: 9780821837269

Pub. Date: 04/20/2005

Publisher: American Mathematical Society

This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. The advantage of considering Brauer type embedding problems is their comparatively simple condition for solvability in the form of an obstruction in the

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Overview

This monograph is concerned with Galois theoretical embedding problems of so-called Brauer type with a focus on 2-groups and on finding explicit criteria for solvability and explicit constructions of the solutions. The advantage of considering Brauer type embedding problems is their comparatively simple condition for solvability in the form of an obstruction in the Brauer group of the ground field. This book presupposes knowledge of classical Galois theory and the attendant algebra. Before considering questions of reducing the embedding problems and reformulating the solvability criteria, the author provides the necessary theory of Brauer groups, group cohomology and quadratic forms. The book will be suitable for students seeking an introduction to embedding problems and inverse Galois theory. It will also be a useful reference for researchers in the field.

Product Details

ISBN-13:
9780821837269
Publisher:
American Mathematical Society
Publication date:
04/20/2005
Series:
Fields Institute Monographs Series, #21
Pages:
171
Product dimensions:
7.20(w) x 10.26(h) x 0.67(d)

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