3 problems

Odd-order inversion subgroup conjecture. These elements form a subgroup of $G$.

Zelmanov's conjecture. The group $G$ is locally finite.

Let $\Gamma$ be a discrete group. Say that $B\Gamma$ has $(q,k)$-periodic cohomology when its cohomology is periodic with periodicity dimension $q$ beginning in degree $k$, and say…