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

Author:
Ying-Sheng Liu

Journal:
Proc. Amer. Math. Soc. **120** (1994), 1035-1039

MSC:
Primary 05C25; Secondary 05C05

MathSciNet review:
1203988

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Abstract: Let be a universal cover of a finite connected graph, , and a group acting discretely and cocompactly on , i.e., a uniform lattice on . We give a necessary condition for an elliptic element of to belong to a uniform lattice or to the commensurability group. By using this condition, we construct some explicit examples.

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DOI:
https://doi.org/10.1090/S0002-9939-1994-1203988-1

Article copyright:
© Copyright 1994
American Mathematical Society