On minimal finite quotients of outer automorphism groups of free groups
Abstract
We prove that, for n=3 and 4, the minimal nonabelian finite factor group of the outer automorphism group Out Fn of a free group of rank n is the linear group PSLn(Z2) (conjecturally, this may remain true for arbitrary rank n > 2). We also discuss some computational results on low index subgroups of Aut Fn and Out Fn, for n = 3 and 4, using presentations of these groups.
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