The topic of this book is 3-manifold groups, that is, fundamental groups of compact 3-
manifolds. This class of groups sits between the class of fundamental groups of surfaces …

arXiv:2112.10681v2 [math.MG] 1 Jul 2022 Page 1 MAPPING CLASS GROUPS ARE
QUASICUBICAL HARRY PETYT Abstract. It is proved that the mapping class group of any closed …

arXiv:1205.0202v3 [math.GT] 24 Apr 2013 Page 1 arXiv:1205.0202v3 [math.GT] 24 Apr 2013
3-MANIFOLD GROUPS MATTHIAS ASCHENBRENNER, STEFAN FRIEDL, AND HENRY …

We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group $
A (\Gamma) $ fulfill equivalent conditions that parallel characterizations of convex …

Let G be a right-angled Artin group with defining graph Γ Γ and let H be a finitely generated
group quasi-isometric to G. We show if G satisfies that (1) its outer automorphism group is …

We provide geometric methods to both lower-and upper-bound the large-scale dimension of
CAT (0) cube complexes quasiisometric to a given group $ G $. When these bounds …

We prove that ascending HNN extensions of free groups are word-hyperbolic if and only if
they have no Baumslag-Solitar subgroups. This extends the theorem of Brinkmann that free …

We show that the mapping torus of a hyperbolic group by a hyperbolic automorphism is
cubulable. Along the way, we (i) give an alternate proof of Hagen and Wise's theorem that …

Let G and G′ be two right-angled Artin groups. We show they are quasi-isometric if and
only if they are isomorphic, under the assumption that the outer automorphism groups Out …

We show that group actions on irreducible CAT (0) cube complexes with no free faces are
uniquely determined by their ℓ 1 length function. Actions are allowed to be non‐proper and …