3 citations · 5 across the 5 of their papers we have counts for
6 papers
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} = {…
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…
Constructing Double Magma with Commutation Operations
Charles C. Edmunds
A double magma is a nonempty set with two binary operations satisfying the interchange law. We call a double magma proper if the two operations are distinct and commutative if the…
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…
Products of Commutators and Products of Squares in a Free Group
Leo P. Comerford, Charles C. Edmunds
A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some part…
Commutators as Powers in Free Products of Groups
Leo P. Comerford, Charles C. Edmunds, Gerhard Rosenberger
The ways in which a nontrivial commutator can be a proper power in a free product of groups are identified.