3 problems

Gateva-Ivanova's strong conjecture. If $X$ is a squarefree cycle set with $|X|>1$, then $X$ is retractable.

Rump's prime-order conjecture. If $A$ has size $p$, then there is an isomorphism of quasilinear cycle sets

Rump's retraction conjecture. If $A$ is a quasilinear cycle set with $|A|>1$, then $A$ is retractable.