English

Embedding Partial HNN Extensions In Ascending HNN Extensions

Group Theory 2024-08-02 v1

Abstract

We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.

Keywords

Cite

@article{arxiv.2408.00453,
  title  = {Embedding Partial HNN Extensions In Ascending HNN Extensions},
  author = {Hip Kuen Chong and Daniel T. Wise},
  journal= {arXiv preprint arXiv:2408.00453},
  year   = {2024}
}

Comments

16 pages, 1 figure

R2 v1 2026-06-28T18:00:21.818Z