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Research article Open access

Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7

Haval M. Mohammed Salih · Sultan Qaboos University Journal for Science · 2020 · 10.24200/squjs.vol24iss2pp129-138

The Hurwitz space is the space of genus covers of the Riemann sphere with branch points and the monodromy group . Let be the symmetric group . In this paper, we enumerate the connected components of . Our approach uses computational tools, relying on the computer algebra system GAP and the MAPCLASS package, to find the …

Research article Open access

Connected Components of H_(r,g)^A (G)

Haval M. Mohammed Salih · Sultan Qaboos University Journal for Science · 2018 · 10.24200/squjs.vol22iss2pp106-113

The Hurwitz space is the space of genus g covers of the Riemann sphere with branch points and the monodromy group . In this paper, we enumerate the connected components of the Hurwitz spaces for a finite primitive group of degree 7 and genus zero except . We achieve this with the aid of the computer algebra system GAP …

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