Determining Hurwitz Components of A8

Authors

  • Haval M. Mohammed Salih Department of Mathematics, Faculty of Science, Soran University, Erbil, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10577

Keywords:

Braid orbits, Hurwitz orbits

Abstract

Let be a finite group, the Hurwitz space is the space of genus covers of the Riemann sphere with branch points and the monodromy group . In this paper, we give a complete list of primitive genus zero systems of. We determine the braid orbits on the suitable Nielsen classes, which is equivalent to finding connected components in . We achieve this with the aid of the computer algebra system GAP and the MAPCLASS package.

References

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Mohammed Salih, M. Haval. "Finite Group of Small Genus". Thesis (Ph.D.)-University of Birmingham, (2014).

Wang Gehao. "Genus Zero systems for primitive groups of Affine type". ProQuest LLC, Ann Arbor, MI. Thesis (Ph.D.)-University of Birmingham, (2011).

Fu Liu and Brian Osserman. "The irreducibility of certain pure-cylce Hurwitz spaces". Amer. J. Math., Vol. 130, No. 6, pp 1687-1708, (2008). DOI: https://doi.org/10.1353/ajm.0.0031

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Published

2016-12-20

How to Cite

Determining Hurwitz Components of A8. (2016). Journal of Zankoy Sulaimani - Part A, 18(4), 211-218. https://doi.org/10.17656/jzs.10577