In this paper, we investigated some properties associated with the action of symmetric group Sn (n≤7) acting on X(3). If Gx is the stabilizer of the lengths of the orbits of Gx on X are called sub-degrees and the numbers ...

If M and H are permutation groups with cycle indices ZM and ZH respectively, and if * is some binary operation on permutation groups, then a fundamental problem in enumerative combinatorics is the determination of a formula ...

The ranks and subdegrees of the symmetric group n S acting on [r] X , the set of all ordered r-element subsets from X have been studied (See Rimberia [4]). In this paper, we examine some properties of suborbits and suborbital ...