ON THE RELATIONSHIP BETWEEN THE MINIMUM IRREDUCIBLE CHARACTER CODEGREE AND FINITE SIMPLE GROUPS

Source abstract

Abstract It is established that the sporadic simple groups, the alternating groups and the projective special linear groups L 2 ( p ) $L_2(p)$ upper L 2 left parenthesis p right parenthesis for primes p ≥ 5 $p \geq 5$ p greater than or equals 5 are uniquely determined by their group orders and the minimum nontrivial codegrees of their irreducible characters.