7.70 IsConjugacyClass

IsConjugacyClass( obj )

IsConjugacyClass returns true if obj is a conjugacy class as created by ConjugacyClass (see ConjugacyClass) and false otherwise.

    gap> a5 := Group( (1,2,3), (3,4,5) );;  a5.name := "a5";;
    gap> c := ConjugacyClass( a5, (1,2,3,4,5) );
    ConjugacyClass( a5, (1,2,3,4,5) )
    gap> IsConjugacyClass( c );
    true
    gap> IsConjugacyClass(
    >       [ (1,2,3,4,5), (1,2,4,5,3), (1,2,5,3,4), (1,3,5,4,2),
    >         (1,3,2,5,4), (1,3,4,2,5), (1,4,3,5,2), (1,4,5,2,3),
    >         (1,4,2,3,5), (1,5,4,3,2), (1,5,2,4,3), (1,5,3,2,4) ] );
    false    # even though this is as a set equal to 'c' 

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