English

Groups of order $p^5$ and their unramified Brauer groups

Group Theory 2012-03-16 v1 Algebraic Geometry

Abstract

We classify all groups of order p5p^5 with non-trivial unramified Brauer groups. We show that if p>3p>3, then there are precisely gcd(p1,4)+gcd(p1,3)+1\gcd (p-1,4)+\gcd (p-1,3)+1 such groups.

Keywords

Cite

@article{arxiv.1203.3289,
  title  = {Groups of order $p^5$ and their unramified Brauer groups},
  author = {Primoz Moravec},
  journal= {arXiv preprint arXiv:1203.3289},
  year   = {2012}
}