Keywords
Finite Groups, Solubility, Hall’s theorem, Sylow’s Theorem
How to Cite
On Certain Consequences of the Philip Hall Theorem on Finite Groups. (2025). KASU JOURNAL OF MATHEMATICAL SCIENCE (Maths Access), 1(1), Page 22-27. https://mathsaccess.org.ng/index.php/kjms/article/view/13
Abstract
Some consequences of the Philip Hall theorem were deduced, one of them is its relationship with Sylow’s Theorem. Among other results we have also shown that if H and J are subgroups of G and are of the same order, then the fact that H is a Hall π-subgroup implies J is also a Hall π-subgroup.