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). 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.