Clifford Theory for Group Representations (North-Holland Mathematical Library)

Karpilovsky, Gregory

Published by North-Holland, 1989
ISBN 10: 0444873775 / ISBN 13: 9780444873774
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Synopsis: Let N be a normal subgroup of a finite group G and let F be a field. An important method for constructing irreducible FG-modules consists of the application (perhaps repeated) of three basic operations: (i) restriction to FN. (ii) extension from FN. (iii) induction from FN. This is the `Clifford Theory' developed by Clifford in 1937. In the past twenty years, the theory has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings and crossed products. The purpose of this monograph is to tie together various threads of the development in order to give a comprehensive picture of the current state of the subject. It is assumed that the reader has had the equivalent of a standard first-year graduate algebra course, i.e. familiarity with basic ring-theoretic, number-theoretic and group-theoretic concepts, and an understanding of elementary properties of modules, tensor products and fields.

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Title: Clifford Theory for Group Representations (...
Publisher: North-Holland
Publication Date: 1989
Book Condition: Very Good

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Gregory Karpilovsky
Published by North-Holland (1989)
ISBN 10: 0444873775 ISBN 13: 9780444873774
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Book Description North-Holland, 1989. Hardcover. Book Condition: Used: Good. Bookseller Inventory # SONG0444873775

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