On minimal finite quotients of outer automorphism groups of free groups

Details On minimal finite quotients of outer automorphism groups of free groups On minimal finite quotients of outer automorphism groups of free groups

2009-12-18

arxiv.org/abs/0912.3645v2

Mathematics

Group Theory

6 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On minimal finite quotients of outer automorphism groups of free groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On minimal finite quotients of outer automorphism groups of free groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On minimal finite quotients of outer automorphism groups of free groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349586