University of Sydney Algebra Seminar

Anne Thomas (University of Sydney)

Friday 16 September, 12-1pm, Place: Carslaw 375

Bowditch’s JSJ tree and the quasi-isometry classification of certain right-angled Coxeter groups.

It is a basic question in geometric group theory to classify (families of) finitely generated groups up to quasi-isometry. We compute a quasi-isometry invariant called Bowditch’s JSJ tree for certain Gromov hyperbolic right-angled Coxeter groups. This invariant uses the topological structure of the boundary at infinity of the group. We also identify a subfamily for which Bowditch’s JSJ tree is a complete quasi-isometry invariant. This is joint work with Pallavi Dani (Louisiana State University).