A new class of groups C, containing all coherent RAAGs and all toral relatively hyperbolic
groups, is defined. It is shown that, for a group G in the class C, the ℤ [t]-exponential group G …

We prove that cyclic subgroup separability is preserved under exponential completion for
groups that belong to a class that includes all coherent RAAGs and toral relatively …

We consider the class ℛ of finitely generated toral relatively hyperbolic groups. We show that
groups from ℛ are commutative transitive and generalize a theorem proved by Benjamin …

A result of Bridson, Howie, Miller and Short states that if S is a subgroup of type FP n (ℚ) of
the direct product of n limit groups over free groups, then S is virtually the direct product of …

Abstract Let G=⟨ a 1, &ldots;, an| aiajai & ldots;= a_ja_ia_j, &ldots;, i> j⟩ be an Artin group
and let m ij= m ji be the length of each of the sides of the defining relation involving ai and aj …

In this paper, we prove that right-angled Artin groups (RAAGs) are distinguished from each
other by their pro-completions for any choice of prime, and that right-angled Coxeter groups …

We describe finitely generated groups H universally equivalent (with constants from G in the
language) to a given torsion-free relatively hyperbolic group G with free abelian parabolics …

For each d∈ ℕ, we construct a 3-generated group Hd, which is a subdirect product of free
groups, such that the cohomological dimension of Hd is d. Given a group F and a normal …

We show that the geometric realisation of the poset of proper parabolic subgroups of a large-
type Artin group has a systolic geometry. We use this geometry to show that the set of …

Morse theory and finiteness properties of groups Page 1 Morse theory and finiteness properties
of groups Mladen Bestvina, Noel Brady Department of Mathematics, University of Utah, Salt …