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Tables of Contents for Groups and Representations
Chapter/Section Title
Page #
Page Count
Preface
v
Rudiments of Group Theory
1
38
Review
1
13
Automorphisms
14
13
Group Actions
27
12
The General Linear Group
39
24
Basic Structure
39
10
Parabolic Subgroups
49
7
The Special Linear Group
56
7
Local Structure
63
26
Sylow's Theorem
63
9
Finite p-groups
72
9
The Schur-Zassenhaus Theorem
81
8
Normal Structure
89
18
Composition Series
89
6
Solvable Groups
95
12
Semisimple Algebras
107
30
Modules and Representations
107
13
Wedderburn Theory
120
17
Group Representations
137
42
Characters
137
9
The Character Table
146
18
Induction
164
15
Appendix: Algebraic Integers and Characters
179
6
Bibliography
185
2
List of Notation
187
4
Index
191