Classification of nilpotent primitive linear groups over finite fields

A. S. Detinko, D. L. Flannery

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)585-594
Number of pages10
JournalGlasgow Mathematical Journal
Issue number3
Publication statusPublished - 1 Sep 2004
Externally publishedYes


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