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Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. - MaRDI portal

Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. (Q1046611)

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Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups.
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    Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups. (English)
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    22 December 2009
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    Summary: We compute the virtual cohomological dimension 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 2-dimensional right-angled Artin group. In the case of a right-angled Artin group with defining graph a tree, the bounds agree.
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    right-angled Artin groups
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    symmetric automorphisms
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    virtual cohomological dimension
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    outer automorphism groups of free groups
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