63.37 OrbitalGraphIntersectionMatrices

OrbitalGraphIntersectionMatrices( G )
OrbitalGraphIntersectionMatrices( G, H )

This function returns a sequence of intersection matrices corresponding to the orbital graphs for the transitive permutation group G. An intersection matrix for an orbital graph gamma for G is a collapsed adjacency matrix of gamma, collapsed with respect to the stabilizer in G of a point.

If the optional parameter H is given then it is assumed to be the stabilizer in G of the point 1, and this information can speed up the function.

See also CollapsedAdjacencyMat.

    gap> OrbitalGraphIntersectionMatrices( SymmetricGroup(7) );
    [ [ [ 1, 0 ], [ 0, 1 ] ], [ [ 0, 6 ], [ 1, 5 ] ] ] 

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