الملخص
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.
الكلمات المفتاحية
بيانات النشر
- المعرّف الرقمي
- 10.24200/squjs.vol24iss2pp129-138
- المجلة
- مجلة جامعة السلطان قابوس للعلوم, 24(2), 129
- الناشر
- جامعة السلطان قابوس
- وصول مفتوح
- وصول مفتوح ذهبي
- الترخيص
- CC BY 4.0
اقتبس هذه المقالة
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.
شيكاغو (المؤلف–التاريخ)
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.
هارفارد
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.
فانكوفر
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.