We generalize the small cancellation theory over ordinary hyperbolic groups to relatively
hyperbolic settings. This generalization is then used to prove various embedding theorems …

We present geometric conditions on a metric space (Y, dY) ensuring that, almost surely, any
isometric action on Y by Gromov's expander-based random group has a common fixed …

For all systolic groups we construct boundaries which are EZ–structures. This implies the
Novikov conjecture for torsion-free systolic groups. The boundary is constructed via a system …

We prove that every countable family of countable acylindrically hyperbolic groups has a
common finitely generated acylindrically hyperbolic quotient. As an application, we obtain …

arXiv:1302.5982v2 [math.GR] 13 Aug 2016 Page 1 arXiv:1302.5982v2 [math.GR] 13 Aug 2016
GROUP ACTIONS WITH COMMENSURATED SUBSETS, WALLINGS AND CUBINGS YVES …

A construction of hyperbolic Coxeter groups Page 1 Comment. Math. Helv. 88 (2013), 353–367
DOI 10.4171/CMH/288 Commentarii Mathematici Helvetici © Swiss Mathematical Society A …

We prove that there exist finitely presented, residually finite groups that are profinitely rigid in
the class of all finitely presented groups but not in the class of all finitely generated groups …

For n≥ 3, let SAut (Fn) denote the unique subgroup of index two in the automorphism group
of a free group. The standard linear action of SL (n, ℤ) on ℝn induces non-trivial actions of …

We use basic tools of descriptive set theory to prove that a closed set S of marked groups
has 2 ℵ 0 quasi‐isometry classes, provided that every non‐empty open subset of S contains …

arXiv:1807.08787v1 [math.GR] 23 Jul 2018 Page 1 arXiv:1807.08787v1 [math.GR] 23 Jul 2018
THE LARGE-SCALE GEOMETRY OF RIGHT-ANGLED COXETER GROUPS PALLAVI DANI …