Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I

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  • Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I Book Detail

  • Author : R. Guralnick
  • Release Date : 2014-09-11
  • Publisher : American Mathematical Society(RI)
  • Genre : MATHEMATICS
  • Pages : 142
  • ISBN 13 :
  • File Size : 82,82 MB

Symmetric and Alternating Groups as Monodromy Groups of Riemann Surfaces I by R. Guralnick PDF Summary

Book 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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