Connected components of H r, g A (G)‎

Abstract EN

The Hurwitz space is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G.

In this paper, we enumerate the connected components of the Hurwitz spaces for a finite primitive group G of degree 7 and genus zero except 57.

We achieve this with the aid of the computer algebra system GAP and the MAPCLASS package.