3 problems

Let $p=2$, let $\mathcal L=\operatorname{Lie}(v_1,v_2)$ be the Fibonacci Lie algebra, and let $\mathbf L=\operatorname{Lie}_p(v_1,v_2)$ be its Fibonacci restricted version. The sou…

Let $p=2$ and let $\mathbf L=\operatorname{Lie}_p(v_1,v_2)$ be the Fibonacci restricted Lie algebra. Infinite-presentation conjecture. The algebra $\mathbf L$ is infinitely present…

Let $G$ be a group generated by a finite state automaton. Bartholdi's conjecture. The group $G$ is either finitely presented or densely related. This conjecture concerns the relati…