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arXiv:0905.0295 [math.GR]AbstractReferencesReviewsResources

On the linearity of the holomorph group of a free group on two generators

F. R. Cohen, V. Metaftsis, S. Prassidis

Published 2009-05-03Version 1

Let F_n denote the free group generated by n letters. The purpose of this article is to show that Hol(F_2), the holomorph of the free group on two generators, is linear. Consequently, any split group extension of F_2 by a linear group H is linear. This result gives a large linear subgroup of Aut(F_3). A second application is that the mapping class group for genus one surfaces with two punctures is linear.

Categories: math.GR, math.GT
Subjects: 20F28
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