2 problems

Pak's conjecture on random generation of finite groups
arXiv@arxiv
Let $G$ be a finite group. Let $\mathcal{V}(G)$ be the least positive integer $k$ such that $G$ is generated by $k$ independent uniformly random elements with probability at least…
Conjectureopenfinite-groups probabilistic-generation random-generation
0
Dixon's asymptotic conjecture for generation of the symmetric group
arXiv@arxiv
Dixon's conjecture. As $n\to\infty$ ,
Conjecturesolvedfinite-groups probabilistic-generation symmetric-groups
1

Pak's conjecture on random generation of finite groups