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Identity and Isomorphism

Identity and Isomorphism

Two planes are considered identical if their point sets are equal and they have the same lines.

P eq Q : Plane, Plane -> BoolElt
True if the planes P and Q are identical, otherwise false.
P ne Q : Plane, Plane -> BoolElt
True if the planes P and Q are not identical, otherwise false.
IsIsomorphic(P, Q: parameters) : Plane, Plane -> BoolElt, Map
    AutomorphismGroups: MonStgElt       Default: "None"
True if the planes P and Q are isomorphic, otherwise false. If the planes are isomorphic, an isomorphism f from P onto Q is also returned. The function first computes none, one, or both of the automorphism groups of the left and right planes. This may assist the isomomorphism testing. The parameter AutomorphismGroups, with valid string values Both, Left, Right, None, may be used to specify which of the automorphism groups should be constructed first if not already known. The default is None.
P subset Q : Plane, Plane -> BoolElt
True if P is a subplane of Q, otherwise false.
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