62.4 AsTransformation

AsTransformation( map )

The constructor function AsTransformation returns the mapping map as transformation. Of course, this function can only be applied to mappings with equal source and range, otherwise an error will be signaled.

  gap> s3:=Group((1,2),(1,2,3));             
  Group( (1,2), (1,2,3) )
  gap> i:=InnerAutomorphism(s3,(2,3));
  InnerAutomorphism( Group( (1,2), (1,2,3) ), (2,3) )
  gap> AsTransformation(i);
  Transformation( Group( (1,2), (1,2,3) ), [ 1, 2, 6, 5, 4, 3 ] )  

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GAP 3.4.4
April 1997