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MAA Reviews

Character Theory of Finite Groups

I. Martin Isaacs

Table of Contents

  • Algebras, modules, and representations
  • Group representations and characters
  • Characters and integrality
  • Products of characters
  • Induced characters
  • Normal subgroups
  • T.I. sets and exceptional characters
  • Brauer's theorem
  • Changing the field
  • The Schur index
  • Projective representations
  • Character degrees
  • Character correspondence
  • Linear groups
  • Changing the characteristic
  • Some character tables
  • Bibliographic notes
  • References
  • Index

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