Khudhur, Peshawa Mohammed (2016). Sporadic simple groups of low genus. University of Birmingham. Ph.D.
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Khudhur16PhD.pdf
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Abstract
Let X be a compact connected Riemann surface of genus g and let f∶ X →P1 be a meromorphic function of degree n. Classes of such covers are in one to one correspondence with the primitive systems, which are tuples of elements (x1,x2,⋯,xr) in the symmetric group Sn taken up to
conjugation and the action of the braid group, such that x1.x2.⋯.xr=1 and G=〈x1,x2,⋯,xr〉 is a primitive subgroup G of Sn. This thesis is a contribution to the classification of primitive genus g ≤ 2 systems of sporadic almost simple groups.
| Type of Work: | Thesis (Doctorates > Ph.D.) | |||||||||
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| Award Type: | Doctorates > Ph.D. | |||||||||
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| College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | |||||||||
| School or Department: | School of Mathematics | |||||||||
| Funders: | None/not applicable | |||||||||
| Subjects: | Q Science > QA Mathematics | |||||||||
| URI: | http://etheses.bham.ac.uk/id/eprint/6592 |
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