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IJMSI 2026, 21(1): 173-180 |
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Mohammed Salih H M. Almost Simple Groups of Lie Rank Two and Genus Two. IJMSI 2026; 21 (1) :173-180
URL: http://ijmsi.ir/article-1-2261-en.html
URL: http://ijmsi.ir/article-1-2261-en.html
Abstract:
For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we study the connectedness of the Hurwitz space Hinr,g(G) where G is almost simple groups of Lie rank two, with at least four branch points and genus two. Our approach uses computational tools, relying on the computer algebra system GAP and the MAPCLASS package, to find the connected components of Hinr,g(G). This work gives us the complete classification of G.
Type of Study: Research paper |
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References
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