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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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 $ 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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1203988-1
PII: S 0002-9939(1994)1203988-1
Article copyright: © Copyright 1994 American Mathematical Society