Philippine E-Journals

On Orbitals of a Class of Permutation Groups

Rigor B. Ponsones

Discipline: Mathematics

 

Abstract:

In this article, the author determines the number of distinct orbitals of a known subgroup of the wreath product of the symmetric groups S_m and S_r acting on W = {1, 2, ... , mr}, where m, r > 1. Furthermore, he shows that every non-trivial orbital of this group is symmetric. This article is intended for graduate students who are doing group theory.