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Maximal Subgroups of Some Groups of Extension
Subject area: Science,Engineering and Technology · Area of research: Coding Theory
Abstract
Let G be a finite group. A maximal subgroup H of a group G is a proper subgroup, such that no proper subgroup K of G strictly contains H. If N and G are groups, an extension of N by G is a group M such that N?M and M/N?G. In this paper, we determine groups of extension and L3(3): 2 from some finite groups using modular representation method. We determine the maximal subgroups from the group extensions. We determine the degree, order, number of orbits and the length of the orbits to classify the maximal subgroups obtained from groups of extension.
How to cite this paper
Janet Lilian Maina , John Wanyonyi Matuya, Edward Njuguna "Maximal Subgroups of Some Groups of Extension" Iconic Research And Engineering Journals Volume 6 Issue 6 2022 Page 16-18
Janet Lilian Maina , John Wanyonyi Matuya, Edward Njuguna "Maximal Subgroups of Some Groups of Extension" Iconic Research And Engineering Journals, vol. 6, no. 6, Dec. 2022
Janet Lilian Maina , John Wanyonyi Matuya, Edward Njuguna (2022). Maximal Subgroups of Some Groups of Extension. Iconic Research And Engineering Journals, 6(6).
Janet Lilian Maina , John Wanyonyi Matuya, Edward Njuguna "Maximal Subgroups of Some Groups of Extension" Iconic Research And Engineering Journals, vol. 6, no. 6, Dec. 2022.
@article{1703906,
author = {Janet Lilian Maina , John Wanyonyi Matuya, Edward Njuguna},
title = {Maximal Subgroups of Some Groups of Extension},
journal = {Iconic Research And Engineering Journals},
year = {2022},
volume = {6},
number = {6},
pages = {16-18},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1703906.pdf},
abstract = {Let G be a finite group. A maximal subgroup H of a group G is a proper subgroup, such that no proper subgroup K of G strictly contains H. If N and G are groups, an extension of N by G is a group M such that N?M and M/N?G. In this paper, we determine groups of extension and L3(3): 2 from some finite groups using modular representation method. We determine the maximal subgroups from the group extensions. We determine the degree, order, number of orbits and the length of the orbits to classify the maximal subgroups obtained from groups of extension.},
month = {December},
}