Table of Contents
Introduction 1
Chapter I : Linear groups of cohomogeneity 4 7
Chapter II : Determination of weight patterns 15
§1 : A review of the geometric weight system
and some basic techniques 15
§2 : Actions of small groups 2 2
§3 : Actions of simple groups 3 6
§4 : Analysis of weight patterns in general 4 8
Chapter III :Fixed point results of P.A.Smith type 7 1
Chapter IV : Classification of compact connected Lie transformation
groups on spheres with cohomogeneity one 7 5
§1: Basic facts and constructions 7 5
§2 : G-spheres of cohomogeneity one. Proof of Theorem C 7 7
Appendix : Table I, II, III; c(D) 3 82
References 91
V
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