Character Theory of Finite Groups /

Character Theory of Finite Groups / / Bertram Huppert.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package
VerfasserIn:
Huppert, Bertram,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©1998
Year of Publication:2011
Language:English
Series:De Gruyter Expositions in Mathematics , 25
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Physical Description:1 online resource (618 p.)
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Table of Contents:
  • Frontmatter
  • Introduction
  • Examples of groups
  • Notations and results from group theory
  • § 1 Representations and representation modules
  • § 2 Simple and semisimple modules
  • § 3 Orthogonality relations
  • § 4 The group algebra
  • § 5 Characters of abelian groups
  • § 6 Degrees of irreducible representations
  • § 7 Characters of some small groups
  • § 8 Products of representations and characters
  • § 9 On the number of solutions of gm = 1 in a group
  • § 10 A theorem of A. Hurwitz on multiplicative sums of squares
  • § 11 Permutation representations and characters
  • § 12 The class number
  • § 13 Real characters and real representations
  • § 14 Coprime action
  • § 15 Groups of order paqb
  • § 16 Frobenius groups
  • § 17 Induced characters
  • § 18 Brauer’s permutation lemma and Glauberman’s character correspondence
  • § 19 Clifford Theory 1
  • § 20 Projective representations
  • § 21 Clifford Theory 2
  • § 22 Extensions of characters
  • § 23 Degree pattern and group structure
  • § 24 Monomial groups
  • § 25 Representations of wreath products
  • § 26 Characters of p-groups
  • § 27 Groups with a small number of character degrees
  • § 28 Linear groups
  • § 29 Finite subgroups of SO(3, ℝ) and SU(2, ℂ)
  • § 30 The degree graph
  • § 31 Groups all of whose character degrees are primes
  • § 32 Two special degree problems
  • § 33 Lengths of conjugacy classes
  • § 34 R. Brauer’s theorems on the character ring
  • § 35 Applications of Brauer’s theorems
  • § 36 Artin’s induction theorem
  • § 37 Splitting fields
  • § 38 The Schur index
  • § 39 Integral representations
  • § 40 Isaacs π-special characters
  • § 41 Three arithmetical applications
  • § 42 Small kernels and faithful irreducible characters
  • § 43 TI-sets
  • § 44 Involutions
  • § 45 Groups whose Sylow-2-subgroups are generalized quaternion groups
  • § 46 Perfect Frobenius complements
  • Books
  • Bibliography
  • Index of names
  • Index of subjects

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