4 citations · 10 across the 10 of their papers we have counts for
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Coarse geometry of homeomorphism groups: Classifying countable Stone spaces
George Domat, Hannah Hoganson, Robert Alonzo Lyman
Towards developing the tools of geometric group theory for non-locally compact topological groups, we give one of the first complete classifications of a family of such groups up t…
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…
Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs
George Domat, Hannah Hoganson, Sanghoon Kwak
We completely classify the locally finite, infinite graphs with pure mapping class groups admitting a coarsely bounded generating set. We also study algebraic properties of the pur…
The Automorphism Group of the Infinite-Rank Free Group is Coarsely Bounded
George Domat, Hannah Hoganson, Sanghoon Kwak
We prove that the full automorphism group and the outer automorphism group of the free group of countably infinite rank are coarsely bounded. That is, these groups admit no continu…
Groups with Context-Free Co-Word Problem and Embeddings into Thompson's Group
Rose Berns-Zieve, Dana Fry, Johnny Gillings +2
Let be a finitely generated group, and let be a finite subset that generates as a monoid. The \emph{word problem of with respect to } consists of all words in th…