62.10 Rank for transformations

Rank( t )

For a transformation t on X, the rank of t is defined as the size of the image of t, i.e. mid {t(x) mid x in X} mid, or, in GAP language: Length( Image( t ) ).

Rank returns the rank of the transformation t.

  gap> t1;
  Transformation( [ 1, 2, 3 ], [ 1, 1, 2 ] )
  gap> Rank( t1 );
  2
  gap>
  gap> gt;
  Transformation( Group( (1,2), (3,4) ), [ 4, 2, 2, 1 ] )
  gap> Rank(gt);
  3

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