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Licensed Unlicensed Requires Authentication Published by De Gruyter 1998

Bibliography

From the book Character Theory of Finite Groups

  • Bertram Huppert
https://doi.org/10.1515/9783110809237.607
© 2011 Walter de Gruyter GmbH & Co. KG, Genthiner Str. 13, 10785 Berlin.
From the book
Character Theory of Finite Groups
Character Theory of Finite Groups

Chapters in this book (54)

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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