[GAP Forum] Associated Lie Ring of a finite p-group

Alexander Konovalov alexander.konovalov at gmail.com
Tue Jun 10 12:09:37 BST 2008

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,

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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