4 problems

Let $A'$ denote one of the commutator subgroups considered in the paper, including the cases where the commutator subgroup is not covered by the preceding argument, such as…

Let $G$ be a profinite group whose commutator subgroup is finite-by-procyclic. For a subgroup $K$, write $\pi(K)$ for the set of primes dividing the orders of elements of $K$. Fini…

Finite second derived subgroup conjecture. The subgroup $G”$ is finite.

Finite-by-nilpotent commutator conjecture. The commutator subgroup $G'$ is finite-by-nilpotent.