3 papers
math.GR2025
On a lemma of Milnor and Schwarz, après Rosendal
Robert Alonzo Lyman
Perhaps the fundamental theorem of geometric group theory, the Milnor--Schwarz lemma gives conditions under which the orbit map relating the geometry of a geodesic metric space and…
math.GT2025
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…
math.GR2024
Graphical models for topological groups: A case study on countable Stone spaces
Beth Branman, George Domat, Hannah Hoganson +1
By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley--Abels graph of a totally disconnected, locally compact group, we detail countable…