21.18 CentralCompositionSeriesPPermGroup

CentralCompositionSeriesPPermGroup( G )

This function calculates a central composition series for the p-group G. The method used is known as Holt's algorithm. If G is not a p-group, an error is signalled.

    gap> D := Group( (1,2,3,4), (1,3) );; D.name := "d8";;
    gap> CentralCompositionSeriesPPermGroup( D );
    [ d8, Subgroup( d8, [ (2,4), (1,3) ] ),
      Subgroup( d8, [ (1,3)(2,4) ] ), Subgroup( d8, [  ] ) ] 

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