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Geometries for Groups
Robert Alonzo Lyman
We prove a "continuous converse" to the Milnor-Schwarz lemma. Given any topological group and any left-invariant, large scale geodesic pseudometric giving an identity neigh…
Finiteness properties of stabilisers of oligomorphic actions
Francesco Fournier-Facio, Peter H. Kropholler, Robert Alonzo Lyman +1
An action of a group on a set is oligomorphic if it has finitely many orbits of -element subsets for all . We prove that for a large class of groups (including all groups of…
Conformal dimension bounds for certain Coxeter group Bowditch boundaries
Elizabeth Field, Radhika Gupta, Robert Alonzo Lyman +1
We give upper and lower bounds on the conformal dimension of the Bowditch boundary of a Coxeter group with defining graph a complete graph and edge labels at least three. The lower…