Algebra Seminar: Thomas -- Bowditch’s JSJ tree and the quasi-isometry classification of certain right-angled Coxeter groups

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).