Classification Problems for Finite Linear Groups

dc.contributor.advisor	Flannery, Dane
dc.contributor.author	Hurley, Barry
dc.date.accessioned	2013-06-26T14:29:22Z
dc.date.available	2013-06-26T14:29:22Z
dc.date.issued	2013-03-08
dc.identifier.uri	http://hdl.handle.net/10379/3498
dc.description.abstract	This thesis is concerned with classification problems for finite linear groups. Our main concern is with groups of prime degree, and groups defined over finite fields and fields of zero characteristic. We use the computational algebra system Magma for producing results for various input fields. The results of this thesis complete the classification of irreducible subgroups of GL(n, q) for n < 4 and almost all characteristics.	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subject	Mathematics	en_US
dc.subject	Linear groups	en_US
dc.subject	Matrix groups	en_US
dc.subject	Magma	en_US
dc.title	Classification Problems for Finite Linear Groups	en_US
dc.type	Thesis	en_US
dc.contributor.funder	IRCSET	en_US
dc.local.note	We produce a classification for particular types of mathematical structures. Using various results, we create an method which allows us to create a program which efficiently performs certain computations for the mathematical computer package Magma.	en_US
dc.local.final	Yes	en_US
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland