Computing and Investigating Permutation Characters

Saad Owaid Bedaiwi, Maroa Salah AL-shammery

This work splits into two parts; in the first we present three actions and formulate them into GAP's codes, then we compute and investigate the associated permutation representations and its characters "permutation characters". In the second part, with the aid of the Meataxe GAP's package, we present a method and algorithm for investigating irreducible and permutation characters for a specific kinds of finite groups.