<i>p</i>-elementary subgroups of the Cremona group of rank 3

Abstract

For the subgroups of the Cremona group ${\mathrm{Cr}}_3(\mathbb{C})$ having the form $({\mathbf{\mu }}_p{)}^s$, where $p$ is prime, we obtain an upper bound for $s$. Our bound is sharp if $p\ge 17$.