September 21, hours 4-5: Quotients and The First Isomorphism Theorem
September-20-10
9:42 AM
Go over the "about" handout.
Group homomorphisms, the "category" of groups, images and kernels. Example: S_3 is an image of S_4, but not a kernel.
Normal subgroups, kernels are normal.
Question: Is there a normal subgroup of S_4 which is isomorphic to S_3?