4 papers
The infinite dimensional geometry of conjugation invariant generating sets
Sabine Chu, George Domat, Christine Gao +2
We consider a number of examples of groups together with an infinite conjugation invariant generating set, including: the free group with the generating set of all separable elemen…
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…
Big pure mapping class groups are never perfect
George Domat, Ryan Dickmann
We show that the closure of the compactly supported mapping class group of an infinite type surface is not perfect and that its abelianization contains a direct summand isomorphic…
First cohomology of pure mapping class groups of big genus one and zero surfaces
George Domat, Paul Plummer
We prove that the first integral cohomology of pure mapping class groups of infinite type genus one surfaces is trivial. For genus zero surfaces we prove that not every homomorphis…