Abstract
We study homomorphisms from Out(F3) to Out(F5) and GLm(π) for m β€ 6, where π is a field of characteristic other than 2 or 3. We conclude that all π-linear representations of dimension at most 6 of Out(F3) factor through GL3(β€), and that all homomorphisms Out(F3) β Out(F5) have finite image.
Funding source: United Kingdom
Award Identifier / Grant number: EPSRC
The author wishes to thank Martin R. Bridson for all his help.
Received: 2013-4-3
Revised: 2015-6-15
Published Online: 2015-8-13
Published in Print: 2015-11-1
Β© 2015 by De Gruyter