Sylow synchronization in finite groups: the good case

Hong Yi Huang, Francesca Lisi, Aluna Rizzoli +1

Let $G$ be a finite solvable group such that, for any prime $p$ and any quotient $Q$ of $G$, there are two Sylow $p$-subgroups of $Q$ intersecting in $O_p(Q)$. Then, for every fami…