Forking and JSJ decompositions in the free group II
Group Theory
2020-06-03 v2 Logic
Abstract
We give a complete characterization of the forking independence relation over any set of parameters in the free groups of finite rank, in terms of the decompositions relative to those parameters.
Cite
@article{arxiv.1801.07908,
title = {Forking and JSJ decompositions in the free group II},
author = {Chloé Perin and Rizos Sklinos},
journal= {arXiv preprint arXiv:1801.07908},
year = {2020}
}
Comments
23 pages. In the updated version, the (cumbersome) generalization of the main result given in Theorem 3.15 of the first version was removed, as well as its proof. This induced some substantial simplifications in the presentation. A number of examples and figures have also been added to help the reader