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

DOI:
https://doi.org/10.1090/S0002-9939-1995-1239799-1

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 could be deformed, outside some *F*-invariant subtree, into a uniform lattice.

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1239799-1

Article copyright:
© Copyright 1995
American Mathematical Society