English

Krull dimension for limit groups II: aligning JSJ decompositions

Group Theory 2014-11-11 v2 Logic

Abstract

This is the second paper in a sequence on Krull dimension for limit groups, answering a question of Z. Sela. In it we develop the notion of a resolution of a sequence of limit groups and show how to derive resolutions of low complexity from resolutions of high complexity.

Keywords

Cite

@article{arxiv.0805.1935,
  title  = {Krull dimension for limit groups II: aligning JSJ decompositions},
  author = {Larsen Louder},
  journal= {arXiv preprint arXiv:0805.1935},
  year   = {2014}
}

Comments

Consistent with other papers in the series, I hope. Not a major rewrite. The statement of Theorem 1.4 is consistent with paper 4 (the new one) now. (And they have the same numbering, coincidentally.)

R2 v1 2026-06-21T10:40:07.514Z