$$varvec{L^p}$$-norm estimate of the Bergman projection on Hartogs triangle

Let ({mathcal {S}}) denote the set of positive integers that may appear as the strong symmetric genus of a finite abelian group. We obtain a set of (simple) necessary and sufficient conditions for an integer g to belong to ({mathcal {S}}). We also prove that the set ({mathcal {S}}) has an asymptotic density and approximate its value.