A Cayley (di)graph Cay(G,S) of a group G with respect to set S ⊆ is said be normal if the image under its right regular representation in automorphism Cay(G,S), and called CI-(di)graph for every T Cay(G,S)≅ Cay(G,T), there α∈ Aut(G) such that Sα = T. finite DCI-group or an NDCI-group all digraphs are CI-digraphs, respectively, CI-group NCI-group graphs CI-graphs, respectively. Motivated by conj...

Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists unique linear operator called intertwining which intertwines between this and the standard differential also generalization Fourier transform in context transform. In paper, we determine an integral expression for kernel, is kernel transform, all dihedral gr...

In this paper we define S algebras and show that every finite group can be found in some S algebra.  We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.