47.14 IntersectionsTom

IntersectionsTom( tom, a, b )

The intersections of the two conjugacy classes of subgroups with class numbers a and b, respectively, are determined by the decomposition of the tensor product of their rows of marks. IntersectionsTom returns this decomposition.

    gap> IntersectionsTom( a5, 8, 8 );
    [ ,, 1,,,,, 1 ] 

Any two subgroups of class number 8 (A_4) of A_5 are either equal and their intersection has again class number 8, or their intersection has class number 3, and is a cyclic subgroup of order 3.

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