Clifford Theory for Group Representations

Kobo ebook | May 1, 1989

byKarpilovsky, G.

not yet rated|write a review
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.

Pricing and Purchase Info

$73.79 online
$95.73 list price (save 22%)
Available for download
Not available in stores

From the Publisher

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. I...

Format:Kobo ebookPublished:May 1, 1989Publisher:North HollandLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080872670

ISBN - 13:9780080872674

Look for similar items by category:

Customer Reviews of Clifford Theory for Group Representations

Reviews