2 problems

Let $H$ be a finite group generated by elements of order $2$; such a group is called $\{2\}$-generated. The involution-generation mixability conjecture. Every finite $\{2\}$-genera…

Let $G$ be a finite group. The mixability conjecture. $G$ is mixable if and only if it has no nontrivial quotients of odd order. This claims that the obstruction given by nontrivia…