Low dimensional free and linear representations of Out(F_3)

Details Low dimensional free and linear representations of Out(F_3) Low dimensional free and linear representations of Out(F_3)

2012-02-04

arxiv.org/abs/1202.0923v1

Mathematics

Group Theory

29 pages

Scientific paper

We study homomorphisms from Out(F_3) to Out(F_5), and GL(m,K) for m < 7,
where K is a field of characteristic other than 2 or 3. We conclude that all
K-linear representations of dimension at most 6 of Out(F_3) factor through
GL(3,Z), and that all homomorphisms from Out(F_3) to Out(F_5) have finite
image.

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