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math.RA2018
Commutation Semigroups of Finite Metacyclic Groups with Trivial Centre
Darien DeWolf, Charles C. Edmunds
We study the right and left commutation semigroups of finite metacyclic groups with trivial centre. These are presented \[G(m,n,k) = \left\langle {a,b;{a^m} = 1,{b^n} = 1,{a^b} = {…
math.RA2015★ 3 cited
The Ehresmann-Schein-Nambooripad Theorem for Inverse Categories
Darien DeWolf, Dorette Pronk
The Ehresmann-Schein-Nambooripad (ESN) Theorem asserts an equivalence between the category of inverse semigroups and the category of inductive groupoids. In this paper, we consider…
math.RA2012
On Commutation Semigroups of Dihedral Groups
Darien DeWolf, Charles Edmunds, Christopher Levy
For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings…