A necessary condition for an elliptic element to belong to a uniform tree lattice

Liu, Ying-Sheng

doi:10.1090/S0002-9939-1994-1203988-1

A necessary condition for an elliptic element to belong to a uniform tree lattice
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by Ying-Sheng Liu PDF

Proc. Amer. Math. Soc. 120 (1994), 1035-1039 Request permission

Abstract:

Let $X$ be a universal cover of a finite connected graph, $G = \operatorname {Aut} (X)$, and $\Gamma$ a group acting discretely and cocompactly on $X$, i.e., a uniform lattice on $X$. We give a necessary condition for an elliptic element of $G$ to belong to a uniform lattice or to the commensurability group. By using this condition, we construct some explicit examples.

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