Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element
  • Author(s): Ismaila Yushau Jega
  • Paper ID: 1703551
  • Page: 229-234
  • Published Date: 29-06-2022
  • Published In: Iconic Research And Engineering Journals
  • Publisher: IRE Journals
  • e-ISSN: 2456-8880
  • Volume/Issue: Volume 5 Issue 12 June-2022
Abstract

In this work, a new modified algebraic structure is constructed using modular arithmetic. Some algebraic properties of the structure were studied using a particular sequence (an). Composition of permutation is also used in studying some of these properties. It is discovered that the elements of the structure formed group under composition of permutation.

Keywords

Permutation, Image, Cycle, Transposition, Symmetric group and Alternating group.

Citations

IRE Journals:
Ismaila Yushau Jega "Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element" Iconic Research And Engineering Journals Volume 5 Issue 12 2022 Page 229-234

IEEE:
Ismaila Yushau Jega "Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element" Iconic Research And Engineering Journals, 5(12)