Open AccessHurwitz components of groups with socle PSL(3, q)
Author(s) -
Haval M. Mohammed Salih
Publication year - 2021
Publication title -
extracta mathematicae
Language(s) - English
Resource type - Journals
eISSN - 2605-5686
pISSN - 0213-8743
DOI - 10.17398/2605-5686.36.1.51
Subject(s) - monodromy , mathematics , psl , rank (graph theory) , genus , braid group , combinatorics , sporadic group , group (periodic table) , simple (philosophy) , lie group , pure mathematics , simple group , simple lie group , group of lie type , space (punctuation) , riemann surface , group theory , physics , computer science , philosophy , botany , epistemology , quantum mechanics , biology , operating system
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 give a complete list of some almost simple groups of Lie rank two. That is, we assume that G is a primitive almost simple groups of Lie rank two. Under this assumption we determine the braid orbits on the suitable Nielsen classes, which is equivalent to finding connected components in Hinr,g(G).