Groups of order $p^5$ and their unramified Brauer groups
  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. 
Primoz Moravec
math.GR math.AG