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Construction of New Algebraic Structure of Permutation Group with Prime Order That Has Fix Element
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.
References
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How to cite this paper
@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},
}