No CrossRef data available.
Article contents
Maximal hyperbolic towers and weight in the theory of free groups
Published online by Cambridge University Press: 18 November 2019
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.
MSC classification
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 170 , Issue 3 , May 2021 , pp. 479 - 498
- Copyright
- © Cambridge Philosophical Society 2019