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Induced Modules over Group Algebras - G. Karpilovsky
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G. Karpilovsky:

Induced Modules over Group Algebras - neues Buch

ISBN: 9780080872728

ID: 9780080872728

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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings. Induced Modules over Group Algebras: 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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings., Elsevier Science

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Induced Modules over Group Algebras - Karpilovsky, G.
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Karpilovsky, G.:

Induced Modules over Group Algebras - neues Buch

3, ISBN: 9780080872728

ID: 101159780080872728

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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been avail 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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area. After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings. Algebra, Mathematics, Induced Modules over Group Algebras~~ Karpilovsky, G.~~Algebra~~Mathematics~~9780080872728, en, Induced Modules over Group Algebras, Karpilovsky, G., 9780080872728, North Holland, 03/01/1990, , , , North Holland, 03/01/1990

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Induced Modules over Group Algebras - G. Karpilovsky
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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G. Karpilovsky:
Induced Modules over Group Algebras - neues Buch

ISBN: 9780080872728

ID: 125864390

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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings. Induced Modules over Group Algebras eBook eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Mathematik, Elsevier Science

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Induced Modules over Group Algebras
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Induced Modules over Group Algebras - neues Buch

ISBN: 9780080872728

ID: 9780080872728

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 picture of the general theory of induced modules as it exists at present. Much of the material has until now been available only in research articles. The approach is not intended to be encyclopedic, rather each topic is considered in sufficient depth that the reader may obtain a clear idea of the major results in the area.After establishing algebraic preliminaries, the general facts about induced modules are provided, as well as some of their formal properties, annihilators and applications. The remaining chapters include detailed information on the process of induction from normal subgroups, projective summands of induced modules, some basic results of the Green theory with refinements and extensions, simple induction and restriction pairs and permutation modules. The final chapter is based exclusively on the work of Weiss, presenting a number of applications to the isomorphism problem for group rings. Mathematics and Statistics Media > Ebook > Mathematics and Statistics Mathematics (General) Ebook, North Holland

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Induced Modules over Group Algebras
Autor:

Karpilovsky, G.

Titel:

Induced Modules over Group Algebras

ISBN-Nummer:

9780080872728

Detailangaben zum Buch - Induced Modules over Group Algebras


EAN (ISBN-13): 9780080872728
Erscheinungsjahr: 3
Herausgeber: North Holland

Buch in der Datenbank seit 09.12.2008 12:02:21
Buch zuletzt gefunden am 02.12.2016 05:23:20
ISBN/EAN: 9780080872728

ISBN - alternative Schreibweisen:
978-0-08-087272-8

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