Classification of groups of central type of order p⁴

2015/06/01 by Ofir Schnabel, Schnabel, Ofir
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA

paper · pdf · doi:10.48550/arxiv.1506.00382

This paper has been withdrawn by the author since it was merged with another paper, number arXiv:1412.2490, which was replaced by the complete paper (merger of the two papers)

openalex publication_date 2015/06/01 · arxiv created 2016/01/25 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 p⁴ where p is a prime number.

Citations

• Simple twisted group algebras of dimension p⁴ and their semi-centers

Related

• Groups of order p⁴ made less difficult
• On groups with a given central factor
• Groups of p-central type
• On central automorphisms of finite p-groups
• Elements of prime order in the upper central series of a group of prime-power order