Maximal Subgroups of Some Groups of Extension

• Author(s): Janet Lilian Maina ; John Wanyonyi Matuya ; Edward Njuguna
• Paper ID: 1703906
• Page: 16-18
• Published Date: 05-12-2022
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 6 Issue 6 December-2022

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.

Citations

IRE Journals:
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

IEEE:
Janet Lilian Maina , John Wanyonyi Matuya , Edward Njuguna "Maximal Subgroups of Some Groups of Extension" Iconic Research And Engineering Journals, 6(6)