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| Introduction Chapterapter. I Trees and Amalgams 1 Amalgams 1.1 Direct limits 1.2 Structure of amalgams 1.3 Consequences of the structure theorem 1.4 Constructions using amalgams 1.5 Examples 2 Trees 2.1 Graphs 2.2 Trees 2.3 Subtrees of a graph 3 Trees and free groups 3.1 Trees of representatives 3.2 Graph of a free group 3.3 Free actions on a tree 3.4 Application: SChapterapterreier's theorem Appedix:Presentation of a group of homeomorphisms 4 Trees and amalgams 4.1 The case of two factors 4.2 Examples of trees associated with amalgams 4.3 Applications 4.4 Limit of a tree of groups 4.5 Amalgams and fundamental domains (general case) 5 Structure of a group acting on a tree 5.1 Fundamental group of a graph of groups 5.2 Reduced words 5.3 Universal covering relative to a graph of groups 5.4 Structure theorem 5.5 Application: Kurosh's theorem 6 Amalgams and fixed points 6.1 The fixed point property for groups acting on trees 6.2 Consequences of property (FA) 6.3 Examples 6.4 Fixed points of an automorphism of a tree 6.5 Groups with fixed points (auxiliary results) 6.6 The case of SL[subscript 3](Z) Chapter. II SL[subscript 2] 1 The tree of SL[subscript 2] over a local field 1.1 The tree 1.2 The groups GL(V) and SL(V) 1.3 Action of GL(V) on the tree of V; stabilizers 1.4 Amalgams 1.5 Ihara's theorem 1.6 Nagao's theorem 1.7 Connection with Tits systems 2 Arithmetic subgroups of the groups GL[subscript 2] and SL[subscript 2] over a function field of one variable 2.1 Interpretation of the vertices of [Gamma]\X as classes of vector bundles of rank 2 over C 2.2 Bundles of rank 1 and decomposable bundles 2.3 Structure of [Gamma]\X 2.4 Examples 2.5 Structure of [Gamma] 2.6 Auxiliary results 2.7 Structure of [Gamma]: case of a finite field 2.8 Homology 2.9 Euler-Poincare Chapteraracteristic Bibliography Index |
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