Infinite Coxeter Groups Are Virtually Indicable

Abstract

An infinite group G is called indicable (resp. virtually indicable) if G (resp. a subgroup of finite index in G) admits a homomorphism onto Z. This is a powerful property for a group to have; for example in the context of infinite fundamental groups of aspherical 3-manifolds it remains one of the outstanding open questions to prove such groups are virtually… (More)

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