CH 7 - Group Actions and Permutation Groups

Question 1

Define a group action.

Define a permutation group.

State a theorem where the action of a group G on a set X defines an important equivalence relation on X.

Question 2

Define the orbits of G in its action on X.

When is the action of G transitive?

Define the stabiliser of x in G.

Theorem 7.10 onwards - page 75.