73.125 InnerActor for crossed modules

InnerActor( X )

The inner actor of X is the image of the inner morphism.

    gap> InnActXSC := InnerActor( XSC );
    Crossed module InnerActor[c3->s3] 
    gap> XModPrint( InnActXSC );

    Crossed module InnerActor[c3->s3] :- 
    : Source group has parent ( WG([c3->s3]) ) and has generators:
      [ (1,3,2)(4,5,6) ]
    : Range group has parent ( PermAut(c3)xPermAut(s3) ) and has
        generators: [ (5,7,6), (1,2)(3,4)(6,7) ]
    : Boundary homomorphism maps source generators to:
      [ (5,6,7) ]
    : Action homomorphism maps range generators to automorphisms:
      (5,7,6) --> { source gens --> [ (1,3,2)(4,5,6) ] }
      (1,2)(3,4)(6,7) --> { source gens --> [ (1,2,3)(4,6,5) ] }
      These 2 automorphisms generate the group of automorphisms.  

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