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Local Representation Theory: Modular Representations as an Introduction to the
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups Paperback - 1993

by J. L. Alperin


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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.

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Simple modules and simple algebras give a great deal of information about arbitrary algebras and their modules and it is this point that we shall develop in this chapter.

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  • Title Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
  • Author J. L. Alperin
  • Binding Paperback
  • Pages 192
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Date 1993-09-24
  • Features Maps
  • ISBN 9780521449267 / 052144926X
  • Weight 0.6 lbs (0.27 kg)
  • Dimensions 8.96 x 6 x 0.57 in (22.76 x 15.24 x 1.45 cm)
  • Dewey Decimal Code 512.2
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics)

by J. L. Alperin

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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

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Paperback / softback. New. This text presents some of the key results in the representation theory of finite groups, and contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text.
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Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups (Cambridge Studies in Advanced Mathematics, Series Number 11)

by Alperin, J. L

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Local Representation Theory (Modular Representations as an Introduction to the Local Representation Theory of Finite Groups)

by Alperin, J. L

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