1. A survey of some group theory -- 2. A menagerie of groups -- 3. Actions of groups -- 4. A garden of G-spaces -- 5. Transitivity and orbits -- 6. The classification of transitive G-spaces -- 7. G-morphisms -- 8. Group actions in group theory -- 9. Actions count -- 10. Geometry: an introduction -- 11. The axiomatisation of geometry -- 12. Affine geometry -- 13. Projective geometry -- 14. Euclidean geometry -- 15. Finite groups of isometries -- 16. Complex numbers and quaternions -- 17. Inversive geometry -- 18. Topological considerations -- 19. The group theory of Rubik's magic cube
