24 citations · 118 across the 48 of their papers we have counts for
4 papers · 1 filter
Simple groups separated by finiteness properties
Rachel Skipper, Stefan Witzel, Matthew C. B. Zaremsky
We show that for every positive integer there exists a simple group that is of type but not of type . For these groups are the first k…
Almost-automorphisms of trees, cloning systems and finiteness properties
Rachel Skipper, Matthew C. B. Zaremsky
We prove that the group of almost-automorphisms of the infinite rooted regular -ary tree arises naturally as the Thompson-like group of a so called -ary cloni…
Commensurability invariance for abelian splittings of right-angled Artin groups, braid groups and loop braid groups
Matthew C. B. Zaremsky
We prove that if a right-angled Artin group is abstractly commensurable to a group splitting non-trivially as an amalgam or HNN-extension over , then must…
Groups of fast homeomorphisms of the interval and the ping-pong argument
Collin Bleak, Matthew G. Brin, Martin Kassabov +2
We adapt the Ping-Pong Lemma, which historically was used to study free products of groups, to the setting of the homeomorphism group of the unit interval. As a consequence, we iso…