Finite p-groups with small automorphism group

Jon Gonzalez-Sanchez, Andrei Jaikin-Zapirain

For each prime $p$ we construct a family $\{G_i\}$ of finite $p$-groups such that $|\Aut (G_i)|/|G_i|$ goes to $0$, as $i$ goes to infinity. This disproves a well-known conjecture…