Finiteness Properties of Non-Uniform Lattices on CAT(0) Polyhedral Complexes
Group Theory
2011-08-02 v1
Abstract
We show that the homological finiteness length of a non-uniform lattice on a locally finite CAT(0) n-dimensional polyhedral complex is less than n. As a corollary, we obtain an upper bound for the homological finiteness length of arithmetic groups over function fields. This gives an easier proof of a result of Bux and Wortman that solved a long-standing conjecture.
Keywords
Cite
@article{arxiv.1108.0252,
title = {Finiteness Properties of Non-Uniform Lattices on CAT(0) Polyhedral Complexes},
author = {Giovanni Gandini},
journal= {arXiv preprint arXiv:1108.0252},
year = {2011}
}