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

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

2012-03-15

arxiv.org/abs/1203.3289v1

Mathematics

Group Theory

Scientific paper

We classify all groups of order $p^5$ 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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