Character Theory of Finite Groups

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Courier Corporation, 1994 - Mathematics - 303 pages
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Excellent text approaches characters via rings (or algebras). In addition to techniques for applying characters to "pure" group theory, much of the book focuses on properties of the characters themselves and how these properties reflect and are reflected in the structure of the group. "A pleasure to read." — American Mathematical Society. 1976 edition.
 

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Contents

Algebras modules and representations
1
Group representations and characters
13
Characters and irttegrality
33
Products of characters
47
Induced characters
62
Normal subgroups
78
TI sets and exceptional characters
99
Brauers theorem
126
Changing the field
144
The Schur index
160
Projective representations
174
Character degrees
198
Character correspondence
219
Linear groups
240
Changing the characteristic
262
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