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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.RA2014★ 3 cited
Interchange Rings
Charles Edmunds
An interchange ring,(R,+,*)is an abelian group with a second binary operation defined so that the interchange law (x+y)*(u+v)=(x*u)+(y*v)holds. An interchange near ring is the same…
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…