On the set of natural numbers which only yield orders of Abelian groups
It is shown that if f(x) is the number of integers \(n\leq x\) such that all groups of order n are Abelian and there are at least two of them, then for every positive c one has \[ x(\log \log x)^{-1}\ll f(x)\ll x(\log \log x)^{-1}(\log \log \log x\quad)^{c-1/2}. \]
scientific article; zbMATH DE number 3920590