Geometry and Combinatorics via Right-Angled Artin Groups

Thomas Koberda ()
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Thomas Koberda: University of Virginia, Department of Mathematics

Chapter Chapter 15 in In the Tradition of Thurston II, 2022, pp 475-518 from Springer

Abstract: Abstract We survey the relationship between the combinatorics and geometry of graphs and the algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the right-angled Artin group and on the extension graph associated to the right-angled Artin group. Additionally, we discuss connections with geometric group theory and complexity theory.

Keywords: Right-angled Artin group; Extension graph; Graph expanders; Hamiltonian graph; k-Colorability; Graph automorphism; Acylindrical group action; Quasi-isometry; Commensurability; Mapping class group; Curve graph; Primary: 20F36, 20F65, 05C50; Secondary: 05C45, 05C48, 05C60, 68Q15, 03D15 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-97560-9_15

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DOI: 10.1007/978-3-030-97560-9_15

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