Factorization of finite simple groups

TL;DR

This paper proves that various finite simple groups, including Mathieu, linear, and unitary groups, can be expressed as products of their proper subgroups, advancing understanding of their algebraic structure.

Contribution

It establishes the factorizability of all Mathieu groups, some linear, and unitary groups, a significant extension in the study of finite simple groups.

Findings

Mathieu groups are factorizable

Some linear groups are factorizable

Some unitary groups are factorizable

Abstract

We prove that all Mathieu groups, some linear, and unitary groups are factorizable.