62.3 Transformation

Transformation( obj, tfl )

The constructor function Transformation returns the transformation determined by the transformation list tfl on obj where obj must be a group or a set.

   
  gap> t1:=Transformation([1..3],[1,1,2]);
  Transformation( [ 1, 2, 3 ], [ 1, 1, 2 ] )
  gap> g:=Group((1,2),(3,4));
  Group( (1,2), (3,4) )
  gap> gt := Transformation(g,[1,1,2,5]);
  Error, Usage: Transformation( <obj>, <tfl> ) where <obj> must be a set
  or a group and <tfl> must be a valid transformation list for <obj> in
  Transformation( g, [ 1, 1, 2, 5 ] ) called from
  main loop
  brk>
  gap> gt := Transformation( g, [4,2,2,1] );
  Transformation( Group( (1,2), (3,4) ), [ 4, 2, 2, 1 ] )

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GAP 3.4.4
April 1997