<h2><strong class="pkg">GAP</strong> Primitive Permutation Groups Library</h2>
<p>Version 4.0.1</p>
<p>24 September 2025</p>
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<p><b>Alexander Hulpke
</b>
<br />Email: <span class="URL"><a href="mailto:hulpke@math.colostate.edu">hulpke@math.colostate.edu</a></span>
<br />Homepage: <span class="URL"><a href="https://www.math.colostate.edu/~hulpke/">https://www.math.colostate.edu/~hulpke/</a></span>
<br />Address: <br />Department of Mathematics<br /> Colorado State University<br /> Fort Collins, CO, 80523-1874, USA
</p><p><b>Colva Roney-Dougal
</b>
<br />Email: <span class="URL"><a href="mailto:colva.roney-dougal@st-andrews.ac.uk">colva.roney-dougal@st-andrews.ac.uk</a></span>
<br />Homepage: <span class="URL"><a href="http://www-groups.mcs.st-and.ac.uk/~colva/">http://www-groups.mcs.st-and.ac.uk/~colva/</a></span>
<br />Address: <br />School of Mathematics and Statistics<br /> University of St Andrews<br /> North Haugh, St Andrews<br /> Fife, KY16 9SXS Scotland
</p><p><b>Christopher Russell
</b>
<br />Email: <span class="URL"><a href="mailto:cr66@st-andrews.ac.uk">cr66@st-andrews.ac.uk</a></span>
<br />Address: <br />School of Mathematics and Statistics<br /> University of St Andrews<br /> North Haugh, St Andrews<br /> Fife, KY16 9SXS Scotland
</p>
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<h3>Abstract</h3>
<p>The <strong class="pkg">GAP</strong> package <strong class="pkg">PrimGrp</strong> provides the library of primitive permutation groups which includes, up to permutation isomorphism (i.e., up to conjugacy in the corresponding symmetric group), all primitive permutation groups of degree < 4096.</p>
<p><strong class="pkg">PrimGrp</strong> is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. For details, see the FSF's own site https://www.gnu.org/licenses/gpl.html.
<p>If you obtained <strong class="pkg">PrimGrp</strong>, we would be grateful for a short notification sent to one of the authors.</p>
<p>If you publish a result which was partially obtained with the usage of <strong class="pkg">PrimGrp</strong>, please cite it in the following form:</p>
<p>A. Hulpke, C. Roney-Dougal, C. Russell. <em>PrimGrp --- GAP Primitive Permutation Groups Library, Version 4.0.1;</em> 2025 (<span class="URL"><a href="https://gap-packages.github.io/primgrp/">https://gap-packages.github.io/primgrp/</a></span>).</p>
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<h3>Acknowledgements</h3>
<p>The conversion of the <strong class="pkg">GAP</strong> database of primitive permutation groups to a separate <strong class="pkg">GAP</strong> package has been supported by the EPSRC Collaborative Computational Project EP/M022641/1 CoDiMa (CCP in the area of Computational Discrete Mathematics), <span class="URL"><a href="https://www.codima.ac.uk/">https://www.codima.ac.uk/</a></span>.</p>
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