3 problems

Let $p$ be an odd prime and let … where ${\rm ord}_p(g)=p-1$. Holomorph f-constant conjecture. … This is the specialization of the preceding conjecture to the holomorph of…

Solvability conjecture. If $(G,N)$ is realizable and $G$ is insolvable, then $N$ is also insolvable.

Byott's solvability conjecture. For every $n\in\mathbb{N}$, there do not exist finite groups $G$ and $N$, both of order $n$, such that $G$ is insolvable, $N$ is solvable, and…