Determining Hurwitz Components of A8

Haval M. Mohammed Salih

Department of Mathematics, Faculty of Science, Soran University/Erbil/Iraq



Let be a finite group, the Hurwitz space is the space of genus covers of the Riemann sphere with branch points and the monodromy group . In this paper, we give a complete list of primitive genus zero systems of . We determine the braid orbits on the suitable Nielsen classes, which is equivalent to finding connected components in . We achieve this with the aid of the computer algebra system GAP and the MAPCLASS package.

Key Words:
Braid orbits
Hurwitz orbits


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