English

Klein-Maskit combination theorem for Anosov subgroups: Amalgams

Group Theory 2024-08-07 v3 Geometric Topology

Abstract

The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combination theorems: The first deals with amalgamated free products, whereas the second deals with HNN extensions. This article gives analogs of both combination theorems for Anosov subgroups.

Cite

@article{arxiv.2301.02354,
  title  = {Klein-Maskit combination theorem for Anosov subgroups: Amalgams},
  author = {Subhadip Dey and Michael Kapovich},
  journal= {arXiv preprint arXiv:2301.02354},
  year   = {2024}
}

Comments

Revised after referees' comments. Accepted for publication in J. Reine Angew. Math. (Crelle's Journal)

R2 v1 2026-06-28T08:04:35.872Z