Special IMM groups (with J.F. Manning). Preprint (2022). .pdf
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 F_3 but not F_4. We observe that these hyperbolic groups can be chosen to be special in the sense of Haglund-Wise.