Abstract
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 connected components of . This work gives us the complete classification of primitive genus zero symmetric group of degree seven.
Keywords
Subject
Publication details
- DOI
- 10.24200/squjs.vol24iss2pp129-138
- Journal
- Sultan Qaboos University Journal for Science, 24(2), 129
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Salih, H. M. M. (2020). Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7. Sultan Qaboos University Journal for Science, 24(2), 129. https://doi.org/10.24200/squjs.vol24iss2pp129-138
MLA 9
Salih, Haval M. Mohammed. "Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7." Sultan Qaboos University Journal for Science, vol. 24, no. 2, 2020, pp. 129. https://doi.org/10.24200/squjs.vol24iss2pp129-138.
Chicago (author–date)
Salih, Haval M. Mohammed. 2020. "Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7." Sultan Qaboos University Journal for Science 24 (2): 129. https://doi.org/10.24200/squjs.vol24iss2pp129-138.
Harvard
Salih, H. M. M. (2020) 'Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7', Sultan Qaboos University Journal for Science, 24(2), pp. 129. doi:10.24200/squjs.vol24iss2pp129-138.
Vancouver
Salih HMM. Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7. Sultan Qaboos University Journal for Science. 2020;24(2):129. doi:10.24200/squjs.vol24iss2pp129-138
IEEE
H. M. M. Salih, "Connected Components of the Hurwitz Space for the Symmetric Group of Degree 7," Sultan Qaboos University Journal for Science, vol. 24, no. 2, pp. 129, 2020, doi: 10.24200/squjs.vol24iss2pp129-138.