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

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dc.creatorCohen, F. R.
dc.creatorMetaftsis, V.
dc.creatorPrassidis, S.
dc.date2009-05-03
dc.date.accessioned2026-07-07T13:11:22Z
dc.date.available2026-07-07T13:11:22Z
dc.descriptionLet 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.
dc.identifierhttps://arxiv.org/abs/0905.0295
dc.identifierhttp://arxiv.org/abs/0905.0295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229265
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F28
dc.titleOn the linearity of the holomorph group of a free group on two generators
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