Groups of order p⁵ and their unramified Brauer groups
classification
🧮 math.GR
math.AG
keywords
groupsbrauerorderunramifiedclassifynon-trivialpreciselythen
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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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