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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…