The groups $G$ satisfying a functional equation $f(xk)=xf(x)$ for some $k\in G$

Dominik Bernhardt, Tim Boykett, Alice Devillers +2

We study the groups $G$ with the curious property that there exists an element $k\in G$ and a function $f:G\to G$ such that $f(xk)=xf(x)$ holds for all $x\in G$. This propert…