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- W4288282198 abstract "We introduce the notion of strictly systolic angled complexes. They generalize Januszkiewickz and 'Swik{a}tkowski's $7$-systolic simplicial complexes and also their metric counterparts, which appear as natural analogues to Huang and Osajda's metrically systolic simplicial complexes in the context of negative curvature. We prove that strictly systolic angled complexes and the groups that act on them geometrically, together with their finitely presented subgroups, are hyperbolic. We use these complexes to study the geometry of one-relator groups without torsion, and prove hyperbolicity of such groups under a metric small cancellation hypothesis, weaker than $C'(1/6)$ and $C'(1/4)-T(4)$." @default.
- W4288282198 created "2022-07-28" @default.
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- W4288282198 date "2019-07-15" @default.
- W4288282198 modified "2023-10-18" @default.
- W4288282198 title "Strictly systolic angled complexes and hyperbolicity of one-relator groups" @default.
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- W4288282198 doi "https://doi.org/10.48550/arxiv.1907.06738" @default.
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