Compute a Finite Presentation for the Automorphism Group of Free Group and Free Abelian Group Using GAP System

Abstract

I have developed an algorithm and written a GAP functions pautfreegroup:=function(n)  (Finite Presentation of automorphism Groups of Free group of Rank n), and autfreeabeliangroup:=function(n)  (Finite Presentation of automorphism Groups of Free abelian group of Rank n).  Functions using GAP system for computation of a finite presentation for Aut(F_n ) and GL(n,z) respectively. In order to do that we have given a description for the presentation of  Aut(F_n) and GL(n,z), the automorphism groups of free groups and free abelian groups respectively.