Forking and JSJ decompositions in the free group II

Chloé Perin; Rizos Sklinos

doi:10.1112/jlms.12338

Forking and JSJ decompositions in the free group II

Chloé Perin, Rizos Sklinos

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 (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.

Original language	English
Pages (from-to)	796-817
Number of pages	22
Journal	Journal of the London Mathematical Society
Volume	102
Issue number	2
DOIs	https://doi.org/10.1112/jlms.12338
State	Published - 1 Oct 2020

Keywords

03C45
03C60
20F65
20F67 (primary)

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms.12338

Cite this

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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 (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.",

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Forking and JSJ decompositions in the free group II

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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