4 papers
math.GR2020
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…
math.GR2020
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…
math.GR2019
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…
math.GR2019
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…