Tomasz Prytuła

activity

20142021

most citedHex implies Y

1 citations · 5 across the 7 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.GR2017

Bestvina complex for group actions with a strict fundamental domain

Nansen Petrosyan, Tomasz Prytuła

We consider a strictly developable simple complex of finite groups $G (Q)$ . We show that Bestvina's construction for Coxeter groups applies in this more general setting to…

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…

math.GR2017★ 1 cited

Hyperbolic isometries and boundaries of systolic complexes

Tomasz Prytuła

Given a group $G$ acting geometrically on a systolic complex $X$ and a hyperbolic isometry $h \in G$ , we study the associated action of $h$ on the systolic boundary $\partial X$ . W…