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Group Representations

  • J. L. Alperin
  • Rowen B. Bell
Part of the Graduate Texts in Mathematics book series (GTM, volume 162)

Abstract

In this final chapter, we explore the character theory of finite groups. Section 14 introduces characters and develops some of their elementary properties. This development is continued in Section 15 with the introduction of the character table and the verification of the orthogonality relations. The bulk of this section is devoted to a series of instructive examples involving the computation of character tables. In Section 16, we momentarily return to a more general setting with the definition of induced modules; we then study induced characters, finishing with a well-known group-theoretic theorem of Frobenius that (at present) cannot be established without invoking character theory.

Keywords

Normal Subgroup Conjugacy Class Irreducible Character Frobenius Group Linear Character 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • J. L. Alperin
    • 1
  • Rowen B. Bell
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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