Finite simple groups that act with low fixity on a conjugacy class

Puntos clave

• This research aims to classify non-abelian finite simple groups that exhibit low fixity on their conjugacy classes.
• Listed all non-abelian finite simple groups with low fixity on conjugacy classes.
• Analyzed the fixed point set and its generated subgroups for abelian properties.
• Identified specific groups demonstrating low fixity behavior.
• Described conditions under which the generated subgroup is abelian.