In [Abueida, A. and Roblee, K., More harmonious labelings of families disjoint unions an odd cycle certain trees, J. Combin. Math. Comput., 115 (2020), 61-68] it is shown that the union paths harmonious, starlike trees are using properties cosets for a particular subgroup integers modulo m, where m number edges graph. We expand upon these results by first exploring numerical when adding values ...

We construct unitary modular categories for a general class of coset conformal field theories based on our previous study of these theories in the algebraic quantum field theory framework using subfactor theory. We also consider the calculations of the corresponding 3-manifold invariants. It is shown that under certain index conditions the link invaraints colored by the representations of coset...

If a soluble group G contains two finitely generated abelian subgroups A, B such that the number of double cosets AgB is finite, then G is shown to be virtually polycyclic.

Let G be a real form of a complex reductive group. Suppose that we are given involutions σ and θ of G. Let H = G denote the fixed group of σ and let K = G denote the fixed group of θ. We are interested in calculating the double coset space H\G/K. We use moment map and invariant theoretic techniques to calculate the double cosets, especially the ones that are closed. One salient point of our res...