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This is an old revision of this page, as edited by 128.176.183.133 (talk) at 13:29, 8 September 2008 (Terminology clarification, removed unneccessary <math>). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematics, a uniform tree is a locally finite tree which is the universal cover of a finite graph. Equivalently, the full automorphism group G=Aut(X) of the tree, which is a locally compact topological group, is unimodular and G\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
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