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CONTENTS
Page
1. Introduction 1
2. Invariant Metrics 9
3. Connectedness 12
4. Subgroups 15
5. Lie Groups 20
6. Compact Spaces 23
7. Exponential of Matrices 26
8. Closed Subgroups of GL(n) 32
9. Integration in Compact Groups 35
Hints for Some of the Exercises 45
References 56