C O N T E N T S
0. Introduction 1
1. Graphs of groups, tree actions and edge-indexed graphs 10
1.1 Graphs of groups 10
1.2 Group actions on trees and quotient graphs of groups 11
1.3 Edge-indexed graphs and their groupings 12
1.4 Existence of finite groupings 13
2. Aut(X) and its discrete subgroups 16
2.1 Tree lattices 16
2.2 The group GH of deck transformations 17
2.3 Constructing tree lattices 18
3. Existence of tree lattices 20
3.1 Locally compact groups and their lattices 20
3.2 Lattice Existence Theorem 21
3.3 Existence of non-uniform lattices on uniform trees 22
3.4 Existence of non-uniform coverings 23
4. Non-uniform coverings of indexed graphs with an arithmetic bridge 27
4.1 Geometric and arithmetic bridges in indexed graphs 27
4.2 Changing the ramification factor of an arithmetic bridge 30
4.3 Gluing unimodular subgraphs along connected intersections 31
4.4 Open fanning of arithmetic bridges 33
4.5 Indexed topological coverings 37
4.6 Step 1 - Schematic diagram 38
4.7 Step 2 - Construct topological covering 39
4.8 Step 3 - Change the ramification factor 41
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