Character Theory of Finite Groups / / Bertram Huppert.

• 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
• Physical Description: 1 online resource (618 p.)

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