Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces, Volume 1 : Generic Covers and Covers with Many Branch Points - With an Appendix by R. Guralnick and R. Stafford

ISBN-13: 9780821839928 / Angielski / Miękka / 2007 / 128 str.

Robert Guralnick; John Shareshian

Opis

Considers indecomposable degree $n$ covers of Riemann surfaces with monodromy group an alternating or symmetric group of degree $d$. The authors show that if the cover has five or more branch points then the genus grows rapidly with $n$ unless either $d =