The key idea in geometric group theory is to study infinite groups by endowing them with a
metric and treating them as geometric spaces. This applies to many groups naturally …

We introduce and systematically study the concept of a growth tight action. This generalizes
growth tightness for word metrics as initiated by Grigorchuk and de la Harpe. Given a finitely …

We obtain bounds on the higher divergence functions of right‐angled Artin groups (RAAGs),
finding that the k‐dimensional divergence of a RAAG is bounded above by r2k+ 2. These …

We bound the higher-order Dehn functions and other filling invariants of certain Carnot
groups using approximation techniques. These groups include the higher-dimensional …

Polynomially-bounded Dehn functions of groups Page 1 J. Comb. Algebra. 2 (2018), 311–433
DOI 10.4171/JCA/2-4-1 Journal of Combinatorial Algebra © European Mathematical Society …

Asymptotic invariants, complexity of groups and related problems | Bulletin of Mathematical
Sciences Skip to main content SpringerLink Log in Menu Find a journal Publish with us Search …

The homological and homotopical Dehn functions are different ways of measuring the
difficulty of filling a closed curve inside a group or a space. The homological Dehn function …

Homological and homotopical higher-order filling functions Page 1 Groups Geom. Dyn. 5 (2011),
683–690 DOI 10.4171/GGD/144 Groups, Geometry, and Dynamics © European Mathematical …

Let XDSEB be the metric product of a symmetric space S of noncompact type, a Euclidean
space E and a product B of Euclidean buildings. Let be a discrete group acting isometrically …

We give a method of constructing maps between tubular groups inductively according to a
finite set of strategies. This map will be a quasi-isometry exactly when the set of strategies …