%0 Journal Article
%T Finite p-groups with small automorphism group
%A Jon Gonzalez-Sanchez
%A Andrei Jaikin-Zapirain
%J Mathematics
%D 2014
%I arXiv
%X 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 that $|G|$ divides $|\Aut(G)|$ for every non-abelian finite $p$-group $G$.
%U http://arxiv.org/abs/1406.5772v2