73.108 TableRangeEndomorphismDerivations

TableRangeEndomorphismDerivations( X )

Applying RangeEndomorphismDerivation to every derivation produces a list of endomorphisms of R = X.range. This function returns a list of .genimages for these endomorphisms. Note that, in this example, the 3 irregular derivations map onto the 3 cyclic subgroups of order 2.

    gap> TRE := TableRangeEndomorphismDerivations( XSC );;
    gap> PrintList( TRE );
    [ (4,5,6), (2,3)(5,6) ]
    [ (4,5,6), (2,3)(4,5) ]
    [ (4,5,6), (2,3)(4 6) ]
    [ (4,6,5), (2,3)(5,6) ]
    [ (4,6,5), (2,3)(4,5) ]
    [ (4,6,5), (2,3)(4,6) ]
    [ (), (2,3)(5,6) ]
    [ (), (2,3)(4,6) ]
    [ (), (2,3)(4,5) ]  

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