6 citations · 14 across the 6 of their papers we have counts for
8 papers
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…
Groups that are the union of two semigroups have left-orderable quotients
Casey Donoven
In this article, we show that a group is the union of two proper subsemigroups if and only if has a nontrivial left-orderable quotient. Furthermore, if is the union of…
Finite Coverings of Semigroups and Related Structures
Casey Donoven, Luise-Charlotte Kappe
For a semigroup , the covering number of with respect to semigroups, , is the minimum number of proper subsemigroups of whose union is . This article investig…
Infinite -generated groups
Casey Donoven, Scott Harper
Every finite simple group can be generated by two elements, and Guralnick and Kantor proved that, moreover, every nontrivial element is contained in a generating pair. Groups with…
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…
Computing maximal subsemigroups of a finite semigroup
C. R. Donoven, J. D. Mitchell, W. A. Wilson
A proper subsemigroup of a semigroup is maximal if it is not contained in any other proper subsemigroup. A maximal subsemigroup of a finite semigroup has one of a small number of f…
Some isomorphism results for Thompson like groups
Collin Bleak, Casey Donoven, Julius Jonušas
We consider a class of groups which are supergroups of the Higman-Thompson groups . These groups fit in a framework of Elizabeth Scott for generating infinite virtual…
Codimension formulae for the intersection of fractal subsets of Cantor spaces
Casey Donoven, Kenneth Falconer
We examine the dimensions of the intersection of a subset of an -ary Cantor space with the image of a subset under a random isometry with respect to a na…