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Acylindrical visual splittings and the Tits alternative for Artin groups

Year: 2026

Type: article

Abstract: We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70468

Author: William D. Cohen

Institution: University of Cambridge

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

OpenAlex ID: W4417413581

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