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Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families

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 نشر من قبل Daniel Groves
 تاريخ النشر 2017
  مجال البحث
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We study the set of homomorphisms from a fixed finitely generated group into a family of groups which are `uniformly acylindrically hyperbolic. Our main results reduce this study to sets of homomorphisms which do not diverge in an appropriate sense. As an application, we prove that any relatively hyperbolic group with equationally noetherian peripheral subgroups is itself equationally noetherian.

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