Ascent on Non-Deranged Permutation Group

Authors

  • Ibrahim, M. Usmanu Danfodiyo University, Sokoto
  • Ibrahim, A.A. Usmanu Danfodiyo University, Sokoto
  • Garba A.I. Usmanu Danfodiyo University, Sokoto
  • Aremu, K.O. Usmanu Danfodiyo University, Sokoto

DOI:

https://doi.org/10.57233/ijsgs.v4i2.100

Keywords:

Ascent Numbers, Ascent set, non-deranged permutation Group, Ascent bottom, Ascent top

Abstract

Some further theoretic properties of the scheme called  non-deranged permutation Group, especially in relation to Ascent were identified and studied in this paper. This was done by first computations on this scheme using prime numbers. A recursion formula for generating the Ascent number, union of Ascent set, Ascent bottom sum and Ascent top sum was developed and used, these numbers were used to identify theoretic consequences.

Author Biographies

Ibrahim, M., Usmanu Danfodiyo University, Sokoto

Department of Mathematics,Usmanu Danfodiyo, University Sokoto,P.M.B. 2346, Sokoto State, Nigeria.

Ibrahim, A.A., Usmanu Danfodiyo University, Sokoto

Department of Mathematics,Usmanu Danfodiyo, University Sokoto,P.M.B. 2346, Sokoto State, Nigeria

Garba A.I., Usmanu Danfodiyo University, Sokoto

Department of Mathematics,Usmanu Danfodiyo, University Sokoto,P.M.B. 2346, Sokoto State, Nigeria

Aremu, K.O., Usmanu Danfodiyo University, Sokoto

Department of Mathematics,Usmanu Danfodiyo, University Sokoto,P.M.B. 2346, Sokoto State, Nigeria

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Published

2017-12-28

How to Cite

Ibrahim, M., Ibrahim, A.A., Garba A.I., & Aremu, K.O. (2017). Ascent on Non-Deranged Permutation Group . International Journal of Science for Global Sustainability, 4(2), 6. https://doi.org/10.57233/ijsgs.v4i2.100

Issue

Vol. 4 No. 2 (2017): INTERNATIONAL JOURNAL OF SCIENCE FOR GLOBAL SUSTAINABILITY (IJSGS)

Section

Articles

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Creative Commons License

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