Sporadic simple groups of low genus

Khudhur, Peshawa Mohammed (2016). Sporadic simple groups of low genus. University of Birmingham. Ph.D.

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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.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Magaard Dr, KayUNSPECIFIEDUNSPECIFIED
Shpectorov Prof., SergeyUNSPECIFIEDUNSPECIFIED
Licence:
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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