Godara–Sarkar conjecture for the small Davenport constant of Heisenberg groups
Godara and Sarkar conjectured that, for every odd prime ppp, if Hp3=UT3(Fp)H_{p^3}=\operatorname{UT}_3(\mathbb{F}_p)Hp3=UT3(Fp) is the Heisenberg group of order p3p^3p3, then d(Hp3)=3p−3\mathsf{d}(H_{p^3})=3p-3d(Hp3)=3p−3,…