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A counterexample to the deformation conjecture for uniform tree lattices

Author: Ying-Sheng Liu
Journal: Proc. Amer. Math. Soc. 123 (1995), 315-319
MSC: Primary 20E08; Secondary 05C25, 20F32
MathSciNet review: 1239799
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Abstract: Let X be a universal cover of a finite connected graph. A uniform lattice on X is a group acting discretely and cocompactly on X. We provide a counterexample to Bass and Kulkarni's Deformation Conjecture (1990) that a discrete subgroup $ F \leq \operatorname{Aut} (X)$ could be deformed, outside some F-invariant subtree, into a uniform lattice.

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Article copyright: © Copyright 1995 American Mathematical Society

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