The only groups for which all indecomposable modules are ‘knowable’ are those with cyclic, dihedral, semidihedral, and quaternion Sylow p-subgroups. The structure of the Green ring for groups with cyclic and V4 Sylow p-subgroups are known, but no others have been determined. Of the remaining groups, the dihedral 2-groups have the simplest module category but yet the tensor products of any two i...

In this paper, we introduce t-graphs defined on finitely generated groups. We study some general aspects of the two-generator groups, emphasizing establishing necessary conditions for their connectedness. particular, investigate properties finite dihedral

If G is a finite group and Z(G) the centre of G, then commuting graph for denoted by ΓG, has G\Z(G) as its vertices set with two distinct vp vq are adjacent if = vp. The degree vertex