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.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110809237; 9783110494969; 9783110637199; 9783110233957
• ISSN: 0938-6572
• DOI: 10.1515/9783110809237
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Bertram Huppert.