On groups where the twisted conjugacy class of the unit element is a subgroup

Daciberg Gonçalves, Timur Nasybullov

We study groups $G$ where the $\phi$-conjugacy class $[e{]}_{\phi }=\{g^{-1}\phi (g)|g\in G\}$ of the unit element is a subgroup of $G$ for every automorphism $\phi$ of $G$. If $G$ has $n$ generat…