Brauer type embedding problems
著者
書誌事項
Brauer type embedding problems
（Fields Institute monographs, 21）
American Mathematical Society, c2005
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注記
Includes bibliographical references(p.163-166) and index
内容説明・目次
内容説明
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. The 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.
目次
Galois theory Inverse Galois theory and embedding problems Brauer groups Group cohomology Quadratic forms Decomposing the obstruction Quadratic forms and embedding problems Reducing the embedding problem Pro-finite Galois theory Bibliography Index.
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