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Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram - MaRDI portal

Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram (Q6156080)

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scientific article; zbMATH DE number 7694919
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Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram
scientific article; zbMATH DE number 7694919

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    Automorphisms of groups and a higher rank JSJ decomposition. I: RAAGs and a higher rank Makanin-Razborov diagram (English)
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    12 June 2023
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    The JSJ decomposition encodes the automorphisms and the virtually cyclic splittings of a hyperbolic group. In this paper, the author studies the automorphisms of a hierarchically hyperbolic group that satisfies some weak acylindricity conditions. To study these automorphisms he constructs an object that can be viewed as a higher rank JSJ decomposition. This construction is studied in the case of right angled Artin groups.
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    hyperbolic group
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    JSJ decomposition
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    right angled Artin group
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