Artin groups of infinite type: Trivial centers and acylindrical hyperbolicity
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- by Ruth Charney and Rose Morris-Wright PDF
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Abstract:
While finite type Artin groups and right-angled Artin groups are well understood, little is known about more general Artin groups. In this paper we use the action of an infinite type Artin group $A_{\Gamma }$ on a CAT(0) cube complex to prove that $A_{\Gamma }$ has trivial center providing $\Gamma$ is not the star of a single vertex, and is acylindrically hyperbolic providing $\Gamma$ is not a join.References
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Additional Information
- Ruth Charney
- Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02421
- MR Author ID: 47560
- Email: charney@brandeis.edu
- Rose Morris-Wright
- Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02421
- Email: rmorriswright@brandeis.edu
- Received by editor(s): July 12, 2018
- Received by editor(s) in revised form: December 6, 2018
- Published electronically: June 14, 2019
- Additional Notes: The first author was partially supported by NSF grant DMS-1607616.
The second author was partially supported by the Brandeis IGERT grant in “Geometry and Dynamics”. - Communicated by: David Futer
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3675-3689
- MSC (2010): Primary 20F36, 20F65
- DOI: https://doi.org/10.1090/proc/14503
- MathSciNet review: 3993762