Investigating the Effect of Representing the Mathieu Group M24 on Its Subgroup and Applications
Abstract
The Mathieu Group M24 is a sporadic simple group in group theory, with 24 × 23 × 22 × 21 × 20 elements. It is named after the French mathematician Émile Mathieu, who discovered the group in 1861. The representation of degree 24 of the Mathieu Group M24 is an important area of research in group theory, with many applications in algebraic geometry, combinatorics, and coding theory. The behavior and properties of subgroups of the Mathieu Group M24 is an important area of research in group theory, with many applications in different branches of mathematics. Subgroups of the Mathieu Group M24 exhibit interesting properties and behaviors that can be studied to gain a deeper understanding of the group itself as well as its applications in other areas of mathematics. The objective of the research is to investigating the effect of representing the Mathieu group m24 on its subgroups and applications. This research has explored the applications of the Mathieu group M24 and its subgroups in coding theory, particularly in the construction and analysis of error-correcting codes. The group has been used in the construction of one important code, Golay code. The research has provided insights into the coding properties of these codes. The research has developed new techniques and methods for analyzing and representing the Mathieu group M24 and its subgroups. These techniques could be applicable to other groups and structures, and could lead to new advances in the study of algebraic and geometric objects.
Citations
IRE Journals:
Patrick Makila Wanjala , Vincent Nyongesa Marani
"Investigating the Effect of Representing the Mathieu Group M24 on Its Subgroup and Applications" Iconic Research And Engineering Journals Volume 6 Issue 12 2023 Page 428-431
IEEE:
Patrick Makila Wanjala , Vincent Nyongesa Marani
"Investigating the Effect of Representing the Mathieu Group M24 on Its Subgroup and Applications" Iconic Research And Engineering Journals, 6(12)
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