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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

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Showing 2022 · math.GRShow all

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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.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…