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Classification Problems for Finite Linear Groups

Hurley, Barry
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Classification Problems For Finite Linear Groups - Barry Hurley PhD Thesis
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http://hdl.handle.net/10379/3498
 https://doi.org/10.13025/17879
Publication Date
2013-03-08
Keywords
University of Galway Theses, Linear groups, Matrix groups, Magma
Type
doctoral thesis
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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.
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IRCSET
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University of Galway Theses (PhD Theses)