From almost tight $p$-group enumeration to $2$-group domination among finite groups

Yinan Li, Youming Qiao

Let $f(n)$ denote the number of isomorphism classes of groups of order $n$. The pioneering works of Higman (\emph{Proc. Lond. Math. Soc.}, 1960) and Sims (\emph{Proc. Lond. Math. S…