%0 Journal Article %T Quotient isomorphism invariants of a finitely generated Coxeter group %A Michael Mihalik %A John Ratcliffe %A Steven Tschantz %J Mathematics %D 2006 %I arXiv %X In this paper we describe a family of isomorphism invariants of a finitely generated Coxeter group W. Each of these invariants is the isomorphism type of a quotient group W/N of W by a characteristic subgroup N. The virtue of these invariants is that W/N is also a Coxeter group. For some of these invariants, the isomorphism problem of W/N is solved and so we obtain isomorphism invariants that can be effectively used to distinguish isomorphism types of finitely generated Coxeter groups. %U http://arxiv.org/abs/math/0607428v1