Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element

Ismaila Yushau Jega

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1703551 Vol 5 · Issue 12 Download Paper

Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element

Ismaila Yushau Jega

Subject area: Physical Sciences and Environment · Area of research: Abstract Algebra

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.

How to cite this paper

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

Ismaila Yushau Jega "Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element" Iconic Research And Engineering Journals, vol. 5, no. 12, Jun. 2022

Ismaila Yushau Jega (2022). Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element. Iconic Research And Engineering Journals, 5(12).

Ismaila Yushau Jega "Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element" Iconic Research And Engineering Journals, vol. 5, no. 12, Jun. 2022.

@article{1703551,
      author = {Ismaila Yushau Jega},
      title = {Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element},
      journal = {Iconic Research And Engineering Journals},
      year = {2022},
      volume = {5},
      number = {12},
      pages = {229-234},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1703551.pdf},
      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.},
      month = {June},
  }