ON CLASSIFICATION OF PERMUTATIONS

Abstract

Some researchers in combinatorics have developed permutation algorithms using different approaches. We contribute to this area by developing a formula for generating permutations whereby, starting with an identity permutation, each succeeding permutation is a composition on the preceding one. We also determine the conditions by which the resulting permutations form a group. 2010 Mathematics Subject Classification. 20B05, 20B35, 20B30, 20B40.