6 citations · 12 across the 9 of their papers we have counts for
11 papers · 1 filter
Automorphisms of the two-sided shift and the Higman--Thompson groups III: extensions
Feyishayo Olukoya
We aim to interpret important constructions in the theory of automorphisms of the shift dynamical system in terms of subgroups of the outer-automorphism groups…
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…
Automorphisms of shift spaces and the Higman-Thompson groups: the two-sided case
James Belk, Collin Bleak, Peter J. Cameron +1
In this article, we further explore the nature of a connection between the groups of automorphisms of full shift spaces and the groups of outer automorphisms of the Higman--Thompso…
Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case
Collin Bleak, Peter J. Cameron, Feyishayo Olukoya
Let be integers. We give a proof that the group of automorphisms of the one-sided shift on letters embeds nat…
The core growth of strongly synchronizing transducers
Feyishayo Olukoya
We introduce the notion of `core growth rate' for strongly synchronizing transducers. We explore some elementary properties of the core growth rate and give examples of transducers…
An automata theoretic proof that and some embedding results for
Feyishayo Olukoya
In a seminal paper, Brin demonstrates that the outerautomorphism group of Thompson group is isomorphic to the cyclic group of order two. In this article, building on characteri…
Automorphisms of the generalised Thompson's group
Feyishayo Olukoya
The recent paper "The further chameleon groups of Richard Thompson and Graham Higman: automorphisms via dynamics for the Higman groups " of Bleak, Cameron, Maissel, Navas…
Automorphism towers of groups of homeomorphisms of Cantor space
Feyishayo Olukoya
We show that for any full and sufficiently transitive (i.e. \textit{flexible}) group of homeomorphisms of Cantor space, . This…
Conjugate subgroups and overgroups of
Casey Donoven, Feyishayo Olukoya
We describe subgroups and overgroups of the generalised Thompson groups which arise via conjugation by rational homeomorphisms of Cantor space. We specifically consider conju…
The growth rates of automaton groups generated by reset automata
Feyishayo Olukoya
We give sufficient conditions for when groups generated by automata in a class of transducers, which contains the class of reset automata transducers, have infinite o…
The further chameleon groups of Richard Thompson and Graham Higman: Automorphisms via dynamics for the Higman groups
Collin Bleak, Peter Cameron, Yonah Maissel +2
We describe, through the use of Rubin's theorem, the automorphism groups of the Higman-Thompson groups as groups of specific homeomorphisms of Cantor spaces $\mathfrak{C}…