Geodesic
CLASSIFICATION OF NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS
Glasgow mathematical journal, Tome 46 (2004) no. 3, pp. 585-594

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DOI

We present a classification of the nilpotent primitive subgroups of $\mathrm{GL}(n,q)$, up to conjugacy in $\mathrm{GL}(n,q)$. 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 $q$.
DOI : 10.1017/S0017089504002046
Mots-clés : 20H30 
DETINKO, A. S.; FLANNERY, D. L. CLASSIFICATION OF NILPOTENT PRIMITIVE LINEAR GROUPS OVER FINITE FIELDS. Glasgow mathematical journal, Tome 46 (2004) no. 3, pp. 585-594. doi: 10.1017/S0017089504002046
@article{10_1017_S0017089504002046,
     author = {DETINKO, A. S. and FLANNERY, D. L.},
     title = {CLASSIFICATION {OF} {NILPOTENT} {PRIMITIVE} {LINEAR} {GROUPS} {OVER} {FINITE} {FIELDS}},
     journal = {Glasgow mathematical journal},
     pages = {585--594},
     year = {2004},
     volume = {46},
     number = {3},
     doi = {10.1017/S0017089504002046},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504002046/}
}
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