Uniform tree

Uniform tree

A uniform tree is a locally finite tree which is the universal cover of a finite graph. Equivalently, the full automorphism group of the tree, which is a locally compact topological group is unimodular and $G\backslash X$ is finite. Also equivalent is the existence of a uniform X-lattice in G.

Sources

• Bass, Hyman; Lubotzky, Alexander (2001), Tree Lattices, Progress in Mathematics, vol. 176, Birkhäuser, ISBN 0-8176-4120-3