Algebra and Geometry | Part IA, 2002

(a) State the Orbit-Stabilizer Theorem for a finite group GG acting on a set XX.

(b) Suppose that GG is the group of rotational symmetries of a cube CC. Two regular tetrahedra TT and TT^{\prime} are inscribed in CC, each using half the vertices of CC. What is the order of the stabilizer in GG of TT ?

Typos? Please submit corrections to this page on GitHub.