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Character theory of finite groups / by Bertram Huppert.
- Format:
- Book
- Author/Creator:
- Huppert, B. (Bertram), 1927-
- Series:
- De Gruyter Expositions in Mathematics
- De Gruyter expositions in mathematics, 0938-6572 ; 25
- De Gruyter Expositions in Mathematics , 0938-6572 ; 25
- Language:
- English
- Subjects (All):
- Finite groups.
- Characters of groups.
- Physical Description:
- 1 online resource (624 p.)
- Place of Publication:
- Berlin ; New York : Walter de Gruyter, 1998.
- Language Note:
- English
- Summary:
- No detailed description available for "Character Theory of Finite Groups".
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. [607]-613) and indexes.
- Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
- ISBN:
- 9783110809237
- 3110809230
- 9783111746999
- 3111746992
- OCLC:
- 794664406
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