Búsqueda de LIBROS DEL AUTOR: karpilovsky g

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  • GROUP AND SEMIGROUP RINGS
    ebook
    GROUP AND SEMIGROUP RINGS
    KARPILOVSKY, G.
    A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the curre...

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  • THE JACOBSON RADICAL OF GROUP ALGEBRAS
    ebook
    THE JACOBSON RADICAL OF GROUP ALGEBRAS
    KARPILOVSKY, G.
    Let G be a finite group and let F be a field. It is well known that linear representations of G over F can be interpreted as modules over the group algebra FG. Thus the investigation of ring-theoretic structure of the Jacobson radical J(FG) of FG is of fundamental importance. During the last two decades the subject has been pursued by a number of researchers and many interestin...

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  • THE ALGEBRAIC STRUCTURE OF CROSSED PRODUCTS
    ebook
    THE ALGEBRAIC STRUCTURE OF CROSSED PRODUCTS
    KARPILOVSKY, G.
    In the past 15 years, the theory of crossed products 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.The purpose of this monograph is to give, in a self-contained manner, an up-to-date account of various aspects of this development, in an effort to convey ...

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  • TOPICS IN FIELD THEORY
    ebook
    TOPICS IN FIELD THEORY
    KARPILOVSKY, G.
    This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods.Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ...

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  • CLIFFORD THEORY FOR GROUP REPRESENTATIONS
    ebook
    CLIFFORD THEORY FOR GROUP REPRESENTATIONS
    KARPILOVSKY, G.
    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 enj...

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  • INDUCED MODULES OVER GROUP ALGEBRAS
    ebook
    INDUCED MODULES OVER GROUP ALGEBRAS
    KARPILOVSKY, G.
    In 1898 Frobenius discovered a construction which, in present terminology, associates with every module of a subgroup the induced module of a group. This construction proved to be of fundamental importance and is one of the basic tools in the entire theory of group representations.This monograph is designed for research mathematicians and advanced graduate students and gives a ...

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