On Covers of Dihedral 2-Groups by Powerful Subgroups

Risto Atanasov, Adam Gregory, Luke Guatelli +1

A finite $p$-group $G$ is called \textit{powerful} if either $p$ is odd and $[G,G]\subseteq G^p$ or $p=2$ and $[G,G]\subseteq G^4$. A {\em{cover}} for a group is a collection of su…