Transitive permutation groups where nontrivial elements have at most two fixed points.
Motivated by an application to the theory of compact Riemann surfaces, the authors describe finite transitive permutation groups that act nonregularly, such that every nontrivial element has at most two fixed points. In particular, it is proved that if the group is simple then it is isomorphic to \(\text{PSL}_3(4)\), \(\text{PSL}_2(q)\) or \(Sz(q)\).
scientific article; zbMATH DE number 6377259
scientific article