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 (Formula presented.) decompositions relative to those parameters. This paper relies extensively on colour figures. Some references to colour may not be meaningful in the printed version, and we refer the reader to the online version which includes the colour figures.
Bibliographical noteFunding Information:
This research was partially supported by the Israel Science Foundation (Grant No. 1480/16).
© 2020 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
- 20F67 (primary)