TABLE OF CONTENTS The Main Results, Applications, and some History and Preview s v i i The Component Structure of a Smooth G Manifold 1 The Group ft(G,7) 14 The Term s in the G Surgery Sequence 21 Bundle Data and G Surgery 30 The P r o c e s s of G Surgery 48 The Projective Class Group and G Surgery . . . . . . . . . . . . . 64 The Main Zero Theorem 73 Constructing Preambient Maps from G Transversality 78 Converting Preambient G Maps to G Normal Maps 84 Appendix A - l 92 Appendix A- 2 98 Appendix B . . . . . . . . . . . . . . 108 Bibliography 115 i i i
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