Lattices on Nonuniform Trees |
| |
Authors: | Lisa Carbone Gabriel Rosenberg |
| |
Affiliation: | (1) Department of Mathematics, Hill Center, Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Rd, Piscataway, NJ, 08854-8019, U.S.A.;(2) Department of Mathematics, Yale University, 10 Hillhouse Ave, PO Box 208283, New Haven, CT, 06520, U.S.A. |
| |
Abstract: | Let X be a locally finite tree, and let G=Aut(X). Then G is a locally compact group. We show that if X has more than one end, and if G contains a discrete subgroup such that the quotient graph of groups X is infinite but has finite covolume, then G contains a nonuniform lattice, that is, a discrete subgroup such that G is not compact, yet has a finite G-invariant measure. |
| |
Keywords: | lattices trees discrete groups volumes |
本文献已被 SpringerLink 等数据库收录! |
|