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CONTENTS

INTRODUCTION

CHAPTER I. An Outline of Results on Solvmanifolds

CHAPTER II. Ergodic Theory and Group Representations

CHAPTER III. Flows on some Three Dimensional Homogeneous Spaces

APPENDIX TO III. On the Fundamental Group of Certain Fibre Spaces

CHAPTER IV. Minimal Flows on Nilmanifolds

CHAPTER V. Nilflows, Measure Theory

CHAPTER VI. Flows on Certain Solvmanifolds not of Type (E)

CHAPTER VII. Flows in Type E Solvmanifolds

APPENDIX TO VII. A Theorem on Discrete Subgroups of Solvable Groups of Type (E)

CHAPTER VIII. An Application of Nilflows to Diophantine Approximations

APPENDIX: Discrete Groups with Dense Orbits

BIBLIOGRAPHY