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Klein-Maskit combination theorem for Anosov subgroups: Amalgams

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arxiv 2301.02354 v3 pith:7AFKMSGW submitted 2023-01-06 math.GR math.GT

classification math.GRmath.GT
keywords combinationtheoremsanosovdealsklein-maskitsubgroupsamalgamatedamalgams
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The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combination theorems: The first deals with amalgamated free products, whereas the second deals with HNN extensions. This article gives analogs of both combination theorems for Anosov subgroups.

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