24 citations · 118 across the 48 of their papers we have counts for
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math.GR2014
HNN decompositions of the Lodha-Moore groups, and topological applications
Matthew C. B. Zaremsky
The Lodha-Moore groups provide the first known examples of type F_\infty groups that are non-amenable and contain no non-abelian free subgroups. These groups are related to Thompso…
math.GR2014★ 16 cited
Thompson groups for systems of groups, and their finiteness properties
Stefan Witzel, Matthew C. B. Zaremsky
We describe a procedure for constructing a generalized Thompson group out of a family of groups that is equipped with what we call a cloning system. The previously known Thompson g…
math.GR2014
On normal subgroups of the braided Thompson groups
Matthew C. B. Zaremsky
We inspect the normal subgroup structure of the braided Thompson groups Vbr and Fbr. We prove that every proper normal subgroup of Vbr lies in the kernel of the natural quotient Vb…