4 papers
The Dehn Function of PSL(2,Z[1/p])
Jennifer Taback
We show that PSL(2,Z[1/p]) admits a combing with bounded asynchronous width, and use this combing to show that PSL(2,Z[1/p]) has an exponential Dehn function. As a corollary, PSL(2…
The large scale geometry of some metabelian groups
J. Taback, K. Whyte
We study the large scale geometry of the upper triangular subgroup of PSL(2,Z[1/n]), which arises naturally in a geometric context. We prove a quasi-isometry classification theorem…
Equivalence of Geometric and Combinatorial Dehn Functions
Jose Burillo, Jennifer Taback
We prove that if a finitely presented group acts properly discontinuously, cocompactly and by isometries on a simply connected Riemannian manifold, then the Dehn function of the gr…
Quasi-isometric rigidity for PSL(2,Z[1/p])
Jennifer Taback
We prove that PSL(2,Z[1/p]) gives the first example of groups which are not quasi-isometric to each other but have the same quasi-isometry group. Namely, PSL(2,Z[1/p]) and PSL(2,Z[…