English

JSJ decompositions of doubles of free groups

Group Theory 2020-04-15 v2

Abstract

We classify all possible JSJ decompositions of doubles of free groups of rank two and we then compute the Makanin-Razborov diagram of a particular double of a free group and deduce that in general limit groups are not freely subgroup separable.

Keywords

Cite

@article{arxiv.1611.01424,
  title  = {JSJ decompositions of doubles of free groups},
  author = {Simon Heil},
  journal= {arXiv preprint arXiv:1611.01424},
  year   = {2020}
}

Comments

18 pages, added a missing case in the main theorem, multiple small improvements