73.137 InnerAutomorphismGroup

InnerAutomorphismGroup( G )

This creates the inner automorphism group of G as the group generated by the inner automorphisms by generators of G. If a field G.automorphismGroup exists, it is specified as the parent of Inn(G).

    gap> inna4 := InnerAutomorphismGroup( a4 );
    Inn(a4)
    gap> inna4.generators;
    [ InnerAutomorphism( a4, (1,2,3) ), InnerAutomorphism( a4, (2,3,4) ) ]

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