Motiejus Valiunas

activity

20142026

most citedAcylindrical hyperbolicity of groups acting on quasi-median graphs and equations in graph products

7 citations · 37 across the 19 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.GR2022

Abelian subgroups of Helly groups

Motiejus Valiunas

We observe that abelian subgroups of Helly groups are finitely generated, and consequently, soluble subgroups of Helly groups are virtually abelian.

math.MG2022★ 4 cited

Basic Metric Geometry of the Bottleneck Distance

Mauricio Che, Fernando Galaz-García, Luis Guijarro +2

Given a metric pair $(X, A)$ , i.e. a metric space $X$ and a distinguished closed set $A \subset X$ , one may construct in a functorial way a pointed pseudometric space $\mathcal{D}_\…

math.GR2022★ 5 cited

Commensurating HNN-extensions: hierarchical hyperbolicity and biautomaticity

Sam Hughes, Motiejus Valiunas

We construct a CAT(0) hierarchically hyperbolic group (HHG) acting geometrically on the product of a hyperbolic plane and a locally-finite tree which is not biautomatic. This gives…