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On Equational Noetherianity of Colorable Hierarchically Hyperbolic Groups

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arxiv 2410.00977 v1 pith:VGCFUCLJ submitted 2024-10-01 math.GR math.LO

Ohana Barak This is my paper · ORCID
classification math.GRmath.LO
keywords colorablegroupgroupshierarchicallyhyperbolicacylindricalequationalequationally
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We study the homomorphisms from a fixed finitely generated group to strictly acylindrical colorable hierarchically hyperbolic groups. We prove that any such group is equationally noetherian.

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  1. New tools in hierarchical hyperbolicity: A survey

    math.GR 2025-07 accept

    A survey of tools for hierarchical hyperbolicity, including combinatorial HHSs, injective metrics, asymptotically CAT(0) metrics, curtains, R-cubings, and higher-rank JSJ decompositions.

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