English

Adapted almost invariant sets and splittings of groups

Geometric Topology 2025-02-04 v1 Group Theory

Abstract

We prove relative versions of many earlier results about almost invariant sets and splittings of groups. In particular, we prove a relative version of the algebraic torus theorem, and we prove the existence and uniqueness of relative versions of algebraic regular neighbourhoods and of JSJ decompositions.

Keywords

Cite

@article{arxiv.2502.00256,
  title  = {Adapted almost invariant sets and splittings of groups},
  author = {Peter Scott and Gadde Swarup},
  journal= {arXiv preprint arXiv:2502.00256},
  year   = {2025}
}