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Maximal hyperbolic towers and weight in the theory of free groups (1608.01845v2)
Published 5 Aug 2016 in math.GR and math.LO
Abstract: We show that in general for a given group the structure of a maximal hyperbolic tower over a free group is not canonical: We construct examples of groups having hyperbolic tower structures over free subgroups which have arbitrarily large ratios between their ranks. These groups have the same first order theory as non-abelian free groups and we use them to study the weight of types in this theory.
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