25.17 Stabilizer for Ag Groups

AgGroupOps.Stabilizer( U, pt, op )

Let U be an ag group acting on a set Omega by op. Let pt be an element of Omega. Then AgGroupOps.Stabilizer returns the stabilizer of pt in U.

op must be a function taking two arguments such that op( p, u ) is the image of a point p in Omega under the action of an element u of U. If conjugation should be used op must be OnPoints.

The stabilizer is computed by stepping up the composition series of U. The whole orbit <pt>^<U> is not stored during the computation (see LNS84). Of course this saving of space is bought at the cost of time. If you need a faster function, which may use more memory, you can use AgOrbitStabilizer (see AgOrbitStabilizer) instead.

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GAP 3.4.4
April 1997