On F-automizers of subgroups of finite groups

Key Points

• The aim is to explore the characteristics of $$-automizers related to soluble subgroups of finite groups.
• Analyzed the definition and properties of $$-automizers in the context of group theory.
• Focused on soluble subgroups within finite groups to derive specific insights.
• Identified key properties of the $$-automizers concerning subgroup structures.
• Provided examples to illustrate the behavior of these automizers in finite soluble groups.