On the Sylow graph of a group and Sylow normalizers

L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos

Let $G$ be a finite group and $G_p$ be a Sylow $p$-subgroup of $G$ for a prime $p$ in $\pi (G)$, the set of all prime divisors of the order of $G$. The automiser $A_p(G)$ is defined t…