1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.GR2020★ 1 cited
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…
math.GR2020
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…
math.GR2019
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…