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

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

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 com...

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Veröffentlicht in:Sultan Qaboos University journal for science (Online) 2018-01, Vol.22 (2), p.106-113
1. Verfasser: M. Mohammed Salih, Haval
Format: Artikel
Sprache:eng
Schlagworte:
Braid orbits
Connected Components
Monodromy Groups
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Zusammenfassung: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 and the MAPCLASS package.
ISSN:1027-524X
2414-536X
DOI:10.24200/squjs.vol22iss2pp106-113