On the Relationship Between the Minimum Irreducible Character Codegree and Finite Simple Groups

Key Points

• The aim is to investigate how minimum nontrivial codegrees of irreducible characters relate to finite simple groups.
• Examined group orders of sporadic simple groups, alternating groups, and projective special linear groups.
• Analyzed the minimum nontrivial codegrees of irreducible characters associated with these groups.
• Sporadic simple groups, alternating groups, and projective special linear groups are characterized by their group orders.
• Minimum nontrivial codegrees provide a unique identification for these groups.