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...

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Main Author: Haval M. Mohammed Salih
Format: Article
Language:English
Published: Sultan Qaboos University 2018-01-01
Series:Sultan Qaboos University Journal for Science
Subjects:
Monodromy Groups
Braid orbits
Connected Components.
Online Access:https://journals.squ.edu.om/index.php/squjs/article/view/2418
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spelling doaj-66dc5cdf5d9d40919e2967ba4c8c13302020-11-24T22:40:39ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2018-01-0122210611310.24200/squjs.vol22iss2pp106-1132284Connected Components of H_(r,g)^A (G)Haval M. Mohammed Salih0Soran University, Faculty of Science, Mathematics Department-Kawa St, Soran, Erbil, IraqThe 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.https://journals.squ.edu.om/index.php/squjs/article/view/2418Monodromy GroupsBraid orbitsConnected Components.
collection DOAJ
language English
format Article
sources DOAJ
author Haval M. Mohammed Salih
spellingShingle Haval M. Mohammed Salih
Connected Components of H_(r,g)^A (G)
Sultan Qaboos University Journal for Science
Monodromy Groups
Braid orbits
Connected Components.
author_facet Haval M. Mohammed Salih
author_sort Haval M. Mohammed Salih
title Connected Components of H_(r,g)^A (G)
title_short Connected Components of H_(r,g)^A (G)
title_full Connected Components of H_(r,g)^A (G)
title_fullStr Connected Components of H_(r,g)^A (G)
title_full_unstemmed Connected Components of H_(r,g)^A (G)
title_sort connected components of h_(r,g)^a (g)
publisher Sultan Qaboos University
series Sultan Qaboos University Journal for Science
issn 1027-524X
2414-536X
publishDate 2018-01-01
description 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.
topic Monodromy Groups
Braid orbits
Connected Components.
url https://journals.squ.edu.om/index.php/squjs/article/view/2418
work_keys_str_mv AT havalmmohammedsalih connectedcomponentsofhrgag
_version_ 1725704106147840000

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