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1 Preamble
Abstract:
This package gives access to the database of Lie p-rings of order at most
p7 as determined by Mike Newman, Eamonn O'Brien and Michael Vaughan-Lee,
see NOV04 and OVL05, and it provides some functionality to
work with these Lie p-rings.
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.
How to cite this package:
If you use the LiePRing package, then please cite it as:
Michael Vaughan-Lee and Bettina Eick, LiePRing -- A GAP Package for
computing with nilpotent Lie rings of prime-power order (2014), see
www.gap-system.org/Packages
Acknowledgements:
The Lazard correspondence induces a one-to-one correspondence between the
Lie p-rings of order pn and class less than p and the p-groups of
order pn and class less than p. This package provides a function to
evaluate this correspondence; this function has been implemented and given
to us by Willem de Graaf.
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LiePRing manual
September 2019