The affine primitive permutation groups of degree less than 1000

Colva Mary Roney-Dougal; WR Unger

doi:10.1016/S0747-7171(03)00031-2

The affine primitive permutation groups of degree less than 1000

Colva Mary Roney-Dougal
, WR Unger

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we complete the classification of the primitive permutation groups of degree less than 1000 by determining the irreducible subgroups of GL(n, p) for p prime and p(n) < 1000. We also enumerate the maximal subgroups of GL(8, 2), GL(4, 5) and GL(6, 3). (C) 2003 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	421-439
Number of pages	19
Journal	Journal of Symbolic Computation
Volume	35
Issue number	4
DOIs	https://doi.org/10.1016/S0747-7171(03)00031-2
Publication status	Published - Apr 2003

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abstract = "In this paper we complete the classification of the primitive permutation groups of degree less than 1000 by determining the irreducible subgroups of GL(n, p) for p prime and p(n) < 1000. We also enumerate the maximal subgroups of GL(8, 2), GL(4, 5) and GL(6, 3). (C) 2003 Elsevier Science Ltd. All rights reserved.",

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AB - In this paper we complete the classification of the primitive permutation groups of degree less than 1000 by determining the irreducible subgroups of GL(n, p) for p prime and p(n) < 1000. We also enumerate the maximal subgroups of GL(8, 2), GL(4, 5) and GL(6, 3). (C) 2003 Elsevier Science Ltd. All rights reserved.

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JO - Journal of Symbolic Computation

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The affine primitive permutation groups of degree less than 1000

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