@article{Kontoge1998JNTp110136, title = {{The group of automorphisms of the function fields of the curve {$x^n+y^m+1=0$}}}, author = {Kontogeorgis, Aristides I.}, file = {pap1.pdf}, volume = {72}, pages = {110{--}136}, url = {http://dx.doi.org/10.1006/jnth.1998.2251}, doi = {10.1006/jnth.1998.2251}, year = {1998}, journal = {J. Number Theory}, abstract = {We study the group of automorphisms of the function fields of the curves xn+ym-1=0 This groups is bigger than {\mbox{$\mu$}}(m)x{\mbox{$\mu$}}(n) in case m | n. If moreover n-1 is a power of the characteristic, then the group order exceeds the Hurwitz bound}, issn = {0022-314X}, number = {1} }