A note on \(2\)-automorphic \(2\)-groups
Let \(G\) be a finite 2-group on whose set of involutions \(\text{Aut}(G)\) acts transitively, in this case \(G\) is called a 2-automorphic 2-group. It is proved that every 2-automorphic 2-group is of class at most 2.
scientific article; zbMATH DE number 934248