Automorphisms of two-dimensional RAAGs and partially symmetric automorphisms of free groups

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We compute the virtual cohomological dimension (VCD) of the group of partially symmetric outer automorphisms of a free group. We use this to obtain new upper and lower bounds on the VCD of the outer automorphism group of a two-dimensional right-angled Artin group. In the case of a right-angled group with defining graph a tree, the bounds agree.
13 pages, 4 figures

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Group Theory, 20F36

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http://salesiana.dossiersoluciones.com/handle/123456789/158857

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.2300
 http://arxiv.org/abs/0804.2300

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arXiv