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Elia Fioravanti (MPI Bonn): Coarse-median preserving automorphisms. (Seminar Geometrische Gruppentheorie)

Thursday, 22.04.2021 15:00 per ZOOM: Link to Zoom info

Mathematik und Informatik

We study fixed subgroups of automorphisms of right-angled Artin and Coxeter groups. If \phi is an untwisted automorphism of a RAAG, or an arbitrary automorphism of a RACG, we prove that Fix(\phi) is finitely generated and undistorted. Up to replacing \phi with a power, we show that Fix(\phi) is even quasi-convex with respect to the standard word metric. This implies that Fix(\phi) is separable and a special group in the Haglund-Wise sense. Some of our techniques are applicable in the more general context of Bowditch's coarse median groups. Based on arXiv:2101.04415.



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