On the order of automorphism group of a compact bordered Riemann surface of genus four
For non-negative integers g and \(k(2g+k-1\geq 2)\), let N(g,k) be the maximum of the orders of the automorphism groups of compact Riemann surfaces of genus g having k boundary components. it is well known that \(N(g,k)\leq 84(g-1)\) for every pair of g and k. For infinitely many values of g, N(g,0) are known and for every \(k\neq 0\), N(g,k) are known for \(g=0,1,2\) and 3. In this paper the author determines N(4,k) for every k.
scientific article; zbMATH DE number 3875647