Groups of order p⁵ and their unramified Brauer groups

2012/03/15 by Primož Moravec, Moravec, Primoz
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1203.3289

openalex publication_date 2012/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify all groups of order p⁵ with non-trivial unramified Brauer groups. We show that if p>3, then there are precisely gcd (p-1,4)+gcd (p-1,3)+1 such groups.

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