Mathematics – Geometric Topology
Scientific paper
2001-03-24
Algebr. Geom. Topol. 1 (2001) 445-468
Mathematics
Geometric Topology
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-23.abs.html
Scientific paper
Formanek and Procesi have demonstrated that Aut(F_n) is not linear for n >2. Their technique is to construct nonlinear groups of a special form, which we call FP-groups, and then to embed a special type of automorphism group, which we call a poison group, in Aut(F_n), from which they build an FP-group. We first prove that poison groups cannot be embedded in certain mapping class groups. We then show that no FP-groups of any form can be embedded in mapping class groups. Thus the methods of Formanek and Procesi fail in the case of mapping class groups, providing strong evidence that mapping class groups may in fact be linear.
Brendle Tara E.
Hamidi-Tehrani Hessam
No associations
LandOfFree
On the linearity problem for mapping class 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 the linearity problem for mapping class groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the linearity problem for mapping class groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-294319