A new GAP group library for irreducible maximal solvable subgroups of prime degree classical groups

These notes are concerned with the problem of creating new group libraries for the group theory computer system GAP (Groups, Algorithms, and Programming [1]). Our main objective is to develop efficient algorithms that produce a list of maximal solvable subgroups of special linear groups of prime degree over a finite field and to implement it as part of the GAP.