Classification of nilpotent primitive linear groups over finite fields
DETINKO, A. S.
FLANNERY, D. L.
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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
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.