English

Splittings of triangle Artin groups

Group Theory 2021-03-03 v1

Abstract

We show that a triangle Artin group ArtMNP\text{Art}_{MNP} where MNPM\leq N\leq P splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either M>2M>2, or N>3N>3. We also prove that all even three generator Artin groups are residually finite.

Cite

@article{arxiv.2103.01343,
  title  = {Splittings of triangle Artin groups},
  author = {Kasia Jankiewicz},
  journal= {arXiv preprint arXiv:2103.01343},
  year   = {2021}
}

Comments

15 pages, 7 figures. Comments are welcome!

R2 v1 2026-06-23T23:38:17.877Z