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

Ofir Schnabel

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

Rings and Algebras 2016-01-26 v2 Group Theory

Authors: Ofir Schnabel

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.

Keywords

groups of central type non-abelian groups solvable groups p-groups classification order p^4

Cite

@article{arxiv.1506.00382,
  title  = {Classification of groups of central type of order $p^4$},
  author = {Ofir Schnabel},
  journal= {arXiv preprint arXiv:1506.00382},
  year   = {2016}
}

Comments

This paper has been withdrawn by the author since it was merged with another paper, number arXiv:1412.2490, which was replaced by the complete paper (merger of the two papers)

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