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Classification of nilpotent primitive linear groups over finite fields

DETINKO, A. S.
; 
FLANNERY, D. L.
Identifiers
http://hdl.handle.net/10379/9057
 https://doi.org/10.13025/23385
Publication Date
2004-09-01
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Article
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DETINKO, A. S. FLANNERY, D. L. (2004). Classification of nilpotent primitive linear groups over finite fields. Glasgow Mathematical Journal 46 , 585-594
Abstract
We present a classification of the nilpotent primitive subgroups of GL(n, q), up to conjugacy in GL(n, q). Groups in the classification are specified explicitly by generating sets of matrices, where each generating set has size at most 2. Additionally we give an algorithm designed to provide electronic access to the classification for any n and q.
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Publisher
Cambridge University Press (CUP)
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)