14. Automorphism groups and permutation groups
There is transitive motion and there is intransitive motion: the motion of a galloping horse is transitive, it passes through our field of vision and continues on to wherever it is going; the motion in a tile pattern is intransitive, it moves but it stays in our field of vision.
Russell Hoban, Pilgermann (1983)
TOPICS: Permutation groups, automorphism groups; orbits, transitivity, primitivity, generation
TECHNIQUES: Group theory
ALGORITHMS: Schreier–Sims algorithm