Admissible Inversion on Γ1 Non-Deranged Permutations
Asian Research Journal of Mathematics,
Page 44-53
DOI:
10.9734/arjom/2021/v17i830322
Abstract
Some further theoretic properties of scheme called Γ1 non deranged permutations, the permutation which fixes the first element in the permutations were identified and studied in relation to admissible inversion in this paper. This was done first through some computation on this scheme using prime number p ≥ 5, the admissible inversion descent aid (ωp-1) is equi-distributed with descent number des (ωp-1) and also showed that the admissible inversion set Ai (ωi ) and admissible inversion set Ai (ωp-i ) are disjoint.
Keywords:
- Inversion numbers
- admissible inversion
- descent number and Γ1-non deranged permutations.
How to Cite
Magami, M. S., & Ibrahim, M. (2021). Admissible Inversion on Γ1 Non-Deranged Permutations. Asian Research Journal of Mathematics, 17(8), 44-53. https://doi.org/10.9734/arjom/2021/v17i830322
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