74 citations · 339 across the 35 of their papers we have counts for
41 papers
-located locally -large complexes are aspherical
Katherine Goldman, Piotr Przytycki
We prove that -located locally -large simplicial complexes are aspherical.
353-combinatorial curvature and the -dimensional conjecture
Jingyin Huang, Piotr Przytycki
We prove the conjecture for Artin groups of dimension . As an ingredient, we introduce a new form of combinatorial non-positive curvature.
The moduli space of cactus flower curves and the virtual cactus group
Aleksei Ilin, Joel Kamnitzer, Yu Li +2
The space $ \ft_n = \C^n/\C $ of points on the line modulo translation has a natural compactification $ \overline \ft_n $ as a matroid Schubert variety. In this space, pairwise…
Finitely generated subgroups of algebraic elements of plane Cremona groups are bounded
Anne Lonjou, Piotr Przytycki, Christian Urech
We prove that any finitely generated subgroup of the plane Cremona group consisting only of algebraic elements is of bounded degree. This follows from a more general result on `dec…
Weak Tits alternative for groups acting geometrically on buildings
Chris Karpinski, Damian Osajda, Piotr Przytycki
We show that if a group acts geometrically by type-preserving automorphisms on a building, then satisfies the weak Tits alternative, namely, that is either virtually ab…
Coxeter groups are biautomatic
Damian Osajda, Piotr Przytycki
We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of buildings are biautomatic.