Classification of groups of central type of order $p^4$

Abstract

The classification of abelian groups of central type is well known. However, the description of non-abelian groups of central type which are known to be solvable, is far from being understood. In this paper we classify all groups of central type of order $p^4$ where $p$ is a prime number.

arXiv commentThis paper has been withdrawn by the author since it was merged with another paper, number arXiv:1412.2490, which was replaced by the complete paper (merger of the two papers)