Derived arithmetic Fuchsian groups of genus two

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dc.contributor.advisorReid, Alanen
dc.creatorMacasieb, Melissa Lorenaen
dc.date.accessioned2008-08-28T22:40:49Zen
dc.date.accessioned2017-05-11T22:17:05Z
dc.date.available2008-08-28T22:40:49Zen
dc.date.available2017-05-11T22:17:05Z
dc.date.issued2005en
dc.descriptiontexten
dc.description.abstractWe classify all torsion-free derived arithmetic Fuchsian groups of genus two by commensurability class. In particular, we show that there exist no such groups arising from quaternion algebras over number fields of degree greater than 5. We also prove some results on the existence and form of maximal orders for a certain class of quaternion algebras. These can in turn be used to find an explicit set of generators for each derived arithmetic group containing a torsion-free subgroup of genus two. We show this for a number of examples.
dc.description.departmentMathematicsen
dc.format.mediumelectronicen
dc.identifierb61114479en
dc.identifier.oclc70915881en
dc.identifier.urihttp://hdl.handle.net/2152/2274en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshFuchsian groupsen
dc.titleDerived arithmetic Fuchsian groups of genus twoen
dc.type.genreThesisen

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