2 problems

Let $G$ be a finite group and let $p$ be a prime dividing $|G|$. Let ${\mathcal{A}}_p(G)$ be the poset of non-trivial elementary abelian $p$-subgroups of $G$, ordered by inclusion,…

The two-element commutative $p$-base conjecture. Every finite group has a commutative $p$-base of size $2$ for every prime $p$.