Connected components of the Hurwitz space for the symmetric group of degree 7.
Source
Sultan Qaboos University Journal for Scientific. v. 24, no. 2, p.129-138.
Author
Mohammed, Haval M. Salih.
Publisher
College of Science, Sultan Qaboos University.
English 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.
Identifier
DOI:10.24200/squjs.vol24iss2pp129-138
