Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772857 | Journal of Pure and Applied Algebra | 2017 | 25 Pages |
Abstract
We prove that one cannot algorithmically decide whether a finitely presented Z-extension admits a finitely generated base group, and we use this fact to prove the undecidability of the BNS invariant. Furthermore, we show the equivalence between the isomorphism problem within the subclass of unique Z-extensions, and the semi-conjugacy problem for deranged outer automorphisms.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bren Cavallo, Jordi Delgado, Delaram Kahrobaei, Enric Ventura,