Subracks and second homology of the conjugacy classes of finite projective special linear groups of degree two

Istvan Heckenberger, Fengchang Li

We describe the subracks of the conjugacy classes of $\mathrm{PSL}(2,q)$ based on Dickson's theorem on subgroups of $\mathrm{PSL}(2,q)$. All minimal non-abelian subracks of $\mathr…