2 citations · 5 across the 6 of their papers we have counts for
12 papers
A taste of twisted Brin-Thompson groups
Matthew C. B. Zaremsky
This note serves as a short and reader-friendly introduction to twisted Brin-Thompson groups, which were recently constructed by Belk and the author to provide a family of simple g…
The BNSR-invariants of the Stein group
Robert Spahn, Matthew C. B. Zaremsky
The Stein group is the group of orientation-preserving homeomorphisms of the unit interval with slopes of the form () and breakpoints in $\math…
The BNSR-invariants of the Lodha-Moore groups, and an exotic simple group of type
Yash Lodha, Matthew C. B. Zaremsky
In this paper we give a complete description of the Bieri-Neumann-Strebel-Renz invariants of the Lodha-Moore groups. The second author previously computed the first two invariants,…
A short account of why Thompson's group is of type
Matthew C. B. Zaremsky
In 1984 Brown and Geoghegan proved that Thompson's group is of type , making it the first example of an infinite dimensional torsion-free group of type $\tex…
Bestvina-Brady discrete Morse theory and Vietoris-Rips complexes
Matthew C. B. Zaremsky
We inspect Vietoris-Rips complexes of certain metric spaces using a new generalization of Bestvina-Brady discrete Morse theory. Our main result is a pair of metric cr…
The BNSR-invariants of the Houghton groups, concluded
Matthew C. B. Zaremsky
We give a complete computation of the BNSR-invariants of the Houghton groups . Partial results were previously obtained by the author, with a conjecture about the f…