Prove that the stabilizers Ga and Gb are conjugate to one another in G. Use the exercises you did in 1.7 to prove Cayley"s theorem:

Prove that the stabilizers Ga and Gb are conjugate to one another in G. 3. Use the exercises you did in 1.7 to prove Cayley"s theorem: Every finite group is isomorphic to a subgroup of the symmetric group Sn for some n. 4. Recall that the multiplicative group of a ring acts on the additive group by multiplication.