UID:
almahu_9947360003802882
Format:
Online-Ressource (624 p)
Edition:
Online-Ausg. 2011 Electronic reproduction; Available via World Wide Web
ISBN:
9783110154214
Series Statement:
De Gruyter Expositions in Mathematics v.25
Note:
Description based upon print version of record
,
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.
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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 p-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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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.
Additional Edition:
ISBN 9783110809237
Language:
English
Keywords:
Electronic books
DOI:
10.1515/9783110809237
URL:
http://www.degruyter.com/doi/book/10.1515/9783110809237
