2 problems

Let $F_n$ be the free group on $n>1$ generators. Write $LO(F_n)$ for the space of left-orderings of $F_n$ and $BiO(F_n)$ for the space of bi-orderings, each with the topology inher…

Let $M$ be a $3$-manifold and let $\pi_1(M)$ be its fundamental group. An element of a group is generalized torsion if a nonempty finite product of its conjugates is the identity;…