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

Authors

  • Ibrahim M. Usmanu Danfodiyo University, Sokoto State, Nigeria
  • A.K. Musa Federal UniversityBirnin-Kebbi, Kebbi State, Nigeria

DOI:

https://doi.org/10.57233/ijsgs.v9i1.406

Keywords:

-nonderangedpermutations, eft to right maximum places, right to left minimum letters, right to left maximum letters, MahonianStatistics

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.

Author Biographies

Ibrahim M., Usmanu Danfodiyo University, Sokoto State, Nigeria

Department of Mathematics, Usmanu Danfodiyo University, Sokoto State, Nigeria

A.K. Musa, Federal UniversityBirnin-Kebbi, Kebbi State, Nigeria

Department of Mathematics, Federal UniversityBirnin-Kebbi, Kebbi State, Nigeria

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Published

2023-03-31

How to Cite

Ibrahim, M., & Musa, A. (2023). A Study of Some New Statistics on the - non-Deranged Permutations. International Journal of Science for Global Sustainability, 9(1), 6. https://doi.org/10.57233/ijsgs.v9i1.406

Issue

Vol. 9 No. 1 (2023): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY (IJSGS)

Section

Articles

License

Copyright (c) 2023 Author(s)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.