Acylindrical hyperbolicity of automorphism groups and property $R_{\infty }$ for generalized Higman groups

Ignat Soroko, Nicolas Vaskou

We consider the Higman groups $H_k$ ($k\ge 4$) and their generalizations studied by Martin and Horbez--Huang. We prove that the automorphism groups of the Horbez--Huang groups on a…