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Brauer Type Embedding Problems

Arne Ledet

出版	American Mathematical Soc., 2005
主題	Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Group Theory
ISBN	08218372659780821837269
URL	http://books.google.com.hk/books?id=IL8jDwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.