Tomasz Prytuła

activity

20172021

most citedCommensurators of abelian subgroups in CAT(0) groups

1 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.CO2021★ 1 cited

Hex implies Y

Tomasz Prytuła

We give a simple and short proof of the fact that the board game of Y cannot end in a draw. Our proof, based on the analogous result for the game of Hex (the so-called 'Hex Theorem…

math.GR2020

Graphical complexes of groups

Tomasz Prytuła

We introduce graphical complexes of groups, which can be thought of as a generalisation of Coxeter systems with 1-dimensional nerves. We show that these complexes are strictly deve…

math.GR2018★ 1 cited

Commensurators of abelian subgroups in CAT(0) groups

Jingyin Huang, Tomasz Prytuła

We study the structure of the commensurator of a virtually abelian subgroup $H$ in $G$ , where $G$ acts properly on a $CAT (0)$ space $X$ . When $X$ is a Hadamard manifold an…

math.GR2018

Bredon cohomological dimension for virtually abelian stabilisers for CAT(0) groups

Tomasz Prytuła

Given a discrete group $G$ , for any integer $r ⩾ 0$ we consider the family of all virtually abelian subgroups of $G$ of rank at most $r$ . We give an upper bound for the Bredo…

math.GR2017

Solvable Subgroup Theorem for simplicial nonpositive curvature

Tomasz Prytuła

Given a group $G$ with bounded torsion that acts properly on a systolic complex, we show that every solvable subgroup of $G$ is finitely generated and virtually abelian of rank at…