<html><head><title>[LiePRing] 1 Preamble</title></head>
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<h1>1 Preamble</h1><p>
<p>
<hr>Abstract:
This package gives access to the database of Lie <i>p</i>-rings of order at most
<i>p</i><sup>7</sup> as determined by Mike Newman, Eamonn O'Brien and Michael Vaughan-Lee,
see <a href="biblio.htm#NOV04"><cite>NOV04</cite></a> and <a href="biblio.htm#OVL05"><cite>OVL05</cite></a>, and it provides some functionality to
work with these Lie <i>p</i>-rings.
<p>
<p>
<hr>Copyright:
The LiePRing package is free software; you can redistribute 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 opinion) any
later version. The LiePRing package is distributed in the hope that it will
be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
Public License for more details.
<p>
<p>
<hr>How to cite this package:
If you use the LiePRing package, then please cite it as:
<em>Bettina Eick and Michael Vaughan-Lee, LiePRing -- A GAP Package for</em>
computing with nilpotent Lie rings of prime-power order (2014), see
<a href="https://www.gap-system.org/Packages/liepring.html">https://www.gap-system.org/Packages/liepring.html</a>
<p>
<p>
<hr>Acknowlegdements:
The Lazard correspondence induces a one-to-one correspondence between the
Lie <i>p</i>-rings of order <i>p</i><sup><i>n</i></sup> and class less than <i>p</i> and the <i>p</i>-groups of
order <i>p</i><sup><i>n</i></sup> and class less than <i>p</i>. This package provides a function to
evaluate this correspondence; this function has been implemented and given
to us by Willem de Graaf.
<p>
<p>
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<P>
<address>LiePRing manual<br>June 2024
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