6 papers · 1 filter
Generating simple vigorous groups
Collin Bleak, Casey Donoven, Scott Harper +1
The simple vigorous groups form a broad class of groups of homeomorphisms of Cantor space that includes Thompson's group , its various generalisations and many others such as Ne…
Hyperbolic groups satisfy the Boone-Higman conjecture
James Belk, Collin Bleak, Francesco Matucci +1
The 1973 Boone-Higman conjecture predicts that every finitely generated group with solvable word problem embeds in a finitely presented simple group. In this paper, we show that hy…
Progress around the Boone-Higman Conjecture
James Belk, Collin Bleak, Francesco Matucci +1
A conjecture of Boone and Higman from the 1970's asserts that a finitely generated group has solvable word problem if and only if can be embedded into a finitely presented…
The Maximality of in Thompson's group
James Belk, Collin Bleak, Martyn Quick +1
We show that R. Thompson's group is a maximal subgroup of the group . The argument provides examples of foundational calculations which arise when expressing elements of …
On epiC groups over language class C
Raad Al Kohli, Collin Bleak, Luna Elliott
We introduce a new framework linking group theory and formal language theory which generalizes a number of ways these topics have been linked in the past. For a language class C in…
Conjugacy for certain automorphisms of the one-sided shift via transducers
Collin Bleak, Feyishayo Olukoya
We address the following open problem, implicit in the 1990 article "Automorphisms of one-sided subshifts of finite type" of Boyle, Franks and Kitchens (BFK): "Does there exists an…