Brauer Type Embedding Problems

Ledet Arne

ISBN 10: 0821837265 ISBN 13: 9780821837269

Verlag: American Mathematical Society, 2005

Sprache: Englisch

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pp. 171.

Bestandsnummer des Verk�ufers 58035949

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Bibliografische Details

Titel: Brauer Type Embedding Problems
Verlag: American Mathematical Society
Erscheinungsjahr: 2005
Sprache: Englisch
ISBN-10: 0821837265
ISBN-13: 9780821837269
Einband: Hardcover
Zustand: New

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Inhaltsangabe

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.

Rese�a del editor

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.

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