A note on maximal automorphism groups of compact Riemann surfaces (Q1072654)

This research announcement summarizes the relation between the concepts of mark (introduced by Patra) and strongly symmetric genus (introduced by Tucker) for those finite groups representable as the conformal automorphism group of a compact Riemann surface with genus \(g\geq 2\). The author announces that the strongly symmetric genus of every finite alternating group \(A_ n\) and every finite symmetric group \(\Sigma_ n\) is known. In a note the author states that he has obtained all Hurwitz groups of order less than one million, and hopes to publish this work soon.