Abstract

The classification of p-groups of maximal class is a deep and long-standing problem in group theory. Recently, a new approach was introduced by Eick, Komma and Saha: this uses the Lazard correspondence to construct the so-called frame p-groups. The set of all frame p-groups forms a significant, but still controllable part of the set of all p-groups of maximal class and hence seems a good basis for a classification. This paper investigates the automorphism groups and the isomorphism problem for frame p-groups.