2 papers
math.GR2026
Quasimorphisms and Poincaré duality in dimension 3
Paula Heim, William Thomas
We study groups which admit an unbounded quasimorphism to with coarsely connected quasikernel. We show that such a group must either arise as the f…
math.GR2026
Realising all countable groups as quasi-isometry groups
Paula Heim, Joseph MacManus, Lawk Mineh
Given any countable group , we construct uncountably many quasi-isometry classes of proper geodesic metric spaces with quasi-isometry group isomorphic to . Moreover, if the g…