English

Special IMM groups

Group Theory 2022-08-31 v3

Abstract

Italiano-Martelli-Migliorini recently constructed hyperbolic groups which have non-hyperbolic subgroups of finite type. Using a closely related construction, Llosa Isenrich-Martelli-Py constructed hyperbolic groups with subgroups of type F3F_3 but not F4F_4. We observe that these hyperbolic groups can be chosen to be special in the sense of Haglund-Wise.

Cite

@article{arxiv.2205.11290,
  title  = {Special IMM groups},
  author = {Daniel Groves and Jason Fox Manning},
  journal= {arXiv preprint arXiv:2205.11290},
  year   = {2022}
}

Comments

8 pages. Final version, to appear in Bull. Lond. Math. Soc

R2 v1 2026-06-24T11:25:39.059Z