Damian Osajda

activity

20062026

most citedWeakly modular graphs and nonpositive curvature

54 citations · 253 across the 34 of their papers we have counts for

collaborators

Showing 2019 · math.GRShow all

3 papers · 2 filters

math.GR2019★ 8 cited

Helly meets Garside and Artin

Jingyin Huang, Damian Osajda

A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups…

math.GR2019★ 2 cited

Tits Alternative for groups acting properly on $2$ -dimensional recurrent complexes (with an appendix written jointly with Jon McCammond)

Damian Osajda, Piotr Przytycki

We prove the Tits Alternative for groups acting on $2$ -dimensional "recurrent" complexes with uniformly bounded cell stabilisers. This class of complexes includes, among others: $2…

math.GR2019★ 2 cited

Torsion groups do not act on $2$ -dimensional $CAT (0)$ complexes

Sergey Norin, Damian Osajda, Piotr Przytycki

We show, under mild hypotheses, that if each element of a finitely generated group acting on a $2$ -dimensional $CAT (0)$ complex has a fixed point, then there is a global f…

Helly meets Garside and Artin

Tits Alternative for groups acting properly on 2-dimensional recurrent complexes (with an appendix written jointly with Jon McCammond)

Torsion groups do not act on 2-dimensional CAT(0) complexes

Tits Alternative for groups acting properly on $2$ -dimensional recurrent complexes (with an appendix written jointly with Jon McCammond)

Torsion groups do not act on $2$ -dimensional $CAT (0)$ complexes