J. L. Alperin: Local Representation Theory

Cover: 9780521449267 | Local Representation Theory | J. L. Alperin (u. a.) | Taschenbuch

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Sprache: Englisch

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Beschreibung

Representation theory has applications to number theory, combinatorics and many areas of algebra. The aim of this text is to present some of the key results in the representation theory of finite groups. Professor Alperin concentrates on local representation theory, emphasizing module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. Exercises are provided at the end of most sections; the results of some are used later in the text.

Inhaltsverzeichnis

Preface; Part I. Semi-Simple Modules: Part II. Projective Modules: Part III. Modules and Subgroups: Part IV. Blocks: Part V. Cyclic Blocks.

Details

Erscheinungsjahr:	2003
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780521449267
ISBN-10:	052144926X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Alperin, J. L. J. L., Alperin
Redaktion:	Bollobas, Bela
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 11 mm
Von/Mit:	J. L. Alperin (u. a.)
Erscheinungsdatum:	24.06.2003
Gewicht:	0,287 kg