Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces, Volume 1Author :
Paperback
Published : Monday 30 July 2007
Description
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 $d = n$ or the curves have genus zero, there are precisely five branch points and $n =d(d-1)/2$.
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