[LiePRing] 1 Preamble

[Up] [Next] [Index]

# 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: Bettina Eick and Michael Vaughan-Lee, LiePRing -- A GAP Package for computing with nilpotent Lie rings of prime-power order (2014), see https://www.gap-system.org/Packages/liepring.html

Acknowlegdements: 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.

[Up] [Next] [Index]