2 papers
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.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…