Search Results - "Osajda, Damian"

Helly meets Garside and Artin by Huang, Jingyin, Osajda, Damian

“…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…”
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Dismantlability of weakly systolic complexes and applications by CHEPOI, VICTOR, OSAJDA, DAMIAN

“…The fixed point theorem is proved by using a graph-theoretical tool -- dismantlability. In particular we show that 1-skeleta of weakly systolic complexes,…”
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Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes by Osajda, Damian, Przytycki, Piotr

“…We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers…”
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Small cancellation labellings of some infinite graphs and applications by Osajda, Damian

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Residually finite non-exact groups by Osajda, Damian

“…We construct the first examples of residually finite non-exact groups…”
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Large‐type Artin groups are systolic by Huang, Jingyin, Osajda, Damian

“…We prove that Artin groups from a class containing all large‐type Artin groups are systolic. This provides a concise yet precise description of their geometry…”
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Metric systolicity and two-dimensional Artin groups by Huang, Jingyin, Osajda, Damian

“…We introduce the notion of metrically systolic simplicial complexes. We study geometric and large-scale properties of such complexes and of groups acting on…”
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Group cubization by Osajda, Damian

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Weak Tits alternative for groups acting geometrically on buildings by Karpinski, Chris, Osajda, Damian, Przytycki, Piotr

“…We show that if a group G acts geometrically by type-preserving automorphisms on a building, then G satisfies the weak Tits alternative, namely, that G is…”
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Combinatorial Negative Curvature and Triangulations of Three-Manifolds by Osajda, Damian

“…We introduce and study local combinatorial conditions on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We apply the theory to…”
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Torsion groups do not act on 2-dimensional CAT(0) complexes by Norin, Sergey, Osajda, Damian, Przytycki, Piotr

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Tits Alternative for -dimensional complexes by Osajda, Damian, Przytycki, Piotr

“…We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers…”
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Combinatorial negative curvature and triangulations of 3-manifolds by Osajda, Damian

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Tits Alternative for groups acting properly on 2-dimensional recurrent complexes by Osajda, Damian, Przytycki, Piotr, McCammond, J.

“…We prove the Tits Alternative for groups acting on 2-dimensional “recurrent” complexes with uniformly bounded cell stabilisers. This class of complexes…”
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On asymptotically hereditarily aspherical groups by Osajda, Damian, Świa̧tkowski, Jacek

“…We undertake a systematic study of asymptotically hereditarily aspherical (AHA) groups, the class of groups introduced by Tadeusz Januszkiewicz and the second…”
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On two conjectures of Maurer concerning basis graphs of matroids by Chalopin, Jérémie, Chepoi, Victor, Osajda, Damian

“…We characterize 2-dimensional complexes associated canonically with basis graphs of matroids as simply connected triangle-square complexes satisfying some…”
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Ideal boundary of 7–systolic complexes and groups by Osajda, Damian

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Bucolic complexes by Brešar, B., Chalopin, J., Chepoi, V., Gologranc, T., Osajda, D.

“…We introduce and investigate bucolic complexes, a common generalization of systolic complexes and CAT(0) cubical complexes. They are defined as simply…”
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Coxeter groups are biautomatic by Osajda, Damian, Przytycki, Piotr

“…We prove that Coxeter groups are biautomatic. From our construction of the biautomatic structure it follows that uniform lattices in isometry groups of…”
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Helly groups, coarsely Helly groups, and relative hyperbolicity by Osajda, Damian, Valiunas, Motiejus

“…Trans. Amer. Math. Soc. 377 (2024), 1505-1542 A simplicial graph is said to be (coarsely) Helly if any collection of pairwise intersecting balls has non-empty…”
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