Finite groups whose maximal subgroups of even order are MSN-groups

Abstract

A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal subgroup of even order is an MSN-group. In addition, we determine the minimal simple groups all of whose second maximal subgroups are MSN-groups.

Keywords

• msn-groups
• maximal subgroups
• solvable groups
• simple groups
• 20d10
• 20d20