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arXiv:0912.3645 [math.GR]AbstractReferencesReviewsResources

On minimal finite quotients of outer automorphism groups of free groups

Mattia Mecchia, Bruno Zimmermann

Published 2009-12-18, updated 2011-02-02Version 2

We prove that, for n=3 and 4, the minimal nonabelian finite factor group of the outer automorphism group Out F_n of a free group of rank n is the linear group PSL_n(Z_2) (conjecturally, this may remain true for arbitrary rank n > 2). We also discuss some computational results on low index subgroups of Aut F_n and Out F_n, for n = 3 and 4, using presentations of these groups.

Comments: 6 pages
Categories: math.GR, math.GT
Subjects: 20E05, 20F28, 57M07
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