Dear Robert,
For a finite p-group G, GAP can construct two other similarly defined
Lie algebras,
namely JenningsLieAlgebra( G ) and PCentralLieAlgebra ( G ).
Type ?JenningsLieAlgebra or ?PCentralLieAlgebra in GAP prompt to see
the description.
Maybe one of those is what you are looking for.
Best wishes,
Alexander
On 5 Jun 2008, at 18:33, Ellis, Grahamj wrote:
Is there a GAP function to construct the associated Lie ring of a
finite p-group (or nilpotent group)?
I've looked for one in the documentation but cannot find it if it
exists.
Thank you,
Robert Heffernan
The function LowerCentralSeriesLieAlgebra in the HAP package might
be what you are looking for. Details of the function can be found at http://hamilton.nuigalway.ie/Hap/doc/chap4.html#s0ss0
.
Graham
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