A Study of Some New Statistics on the - non-Deranged Permutations

Abstract

In this study, we looked at some novel statistics on the -non deranged permutation group, a symmetric group subgroup. We analyzed and redefined some of the statistic namely Lmap, Lmal, Rmip, Rmil and Rmal on  -non deranged permutations. We found that in all -non deranged permutations, Lmap is equivalent to Lmal. In addition, we observed that Rmal of  is empty for any  and other combinatorial features.