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  • Induced Modules over Group Algebrasby G. Karpilovsky

    Elsevier Science 1990; US$ 72.95

    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... more...

  • Group representationsby G. Karpilovsky

    Elsevier Science 1992; US$ 72.95

    Part A: Background Material and Part B: Introduction to Group Representations and Characters more...

  • Group Representationsby G. Karpilovsky

    Elsevier Science 1994; US$ 72.95

    This third volume can be roughly divided into two parts. The first part is devoted to the investigation of various properties of projective characters. Special attention is drawn to spin representations and their character tables and to various correspondences for projective characters. Among other topics, projective Schur index and projective representations... more...

  • Clifford Theory for Group Representationsby G. Karpilovsky

    Elsevier Science 1989; US$ 72.95

    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... more...

  • Group and Semigroup Ringsby G. Karpilovsky

    Elsevier Science 2011; US$ 240.00

    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... more...

  • Topics in Field Theoryby G. Karpilovsky

    Elsevier Science 1989; US$ 72.95

    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... more...

  • The Algebraic Structure of Crossed Productsby G. Karpilovsky

    Elsevier Science 1987; US$ 72.95

    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,... more...

  • The Jacobson Radical of Group Algebrasby G. Karpilovsky

    Elsevier Science 1987; US$ 72.95

    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... more...

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