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

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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.

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Group Theory, Geometric Topology, 20F28

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http://salesiana.dossiersoluciones.com/handle/123456789/229265

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.0295
 http://arxiv.org/abs/0905.0295

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arXiv