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arXiv · 1406.5772

Finite p-groups with small automorphism group

Jon Gonzalez-Sanchez·Andrei Jaikin-Zapirain
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Abstract

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 $G$.

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Jon Gonzalez-Sanchez, Andrei Jaikin-Zapirain. 2014-06-24. Finite p-groups with small automorphism group. https://arxiv.org/abs/1406.5772

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