62.40 Automorphisms for near-rings

Automorphisms( nr )

Automorphisms computes all the automorphisms of the near-ring nr. The automorphisms are returned as a list of transformations. In fact, the returned list contains those automorphisms of nr.group which are also automorphisms of the near-ring nr.

  gap> t := Transformation( Group( (1,2) ), [2,1] );
  Transformation( Group( (1,2) ), [ 2, 1 ] )
  gap> nr := Nearring( t );                         
  Nearring( Transformation( Group( (1,2) ), [ 2, 1 ] ) ) 
  gap> Automorphisms( nr );
  [ Transformation( Group( (1,2)(3,4), (1,3)(2,4) ), [ 1, 2, 3, 4 ] ) ]

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