## Final Grades

Your grades were submitted on Titan Connect.

Most likely they will not be “rolled-in” until Monday.

I wish you have a good break and all the best for your next semester.

## Last minute questions

If you have any last minute questions, I will be in my office from 1 to 2 today.

## Last Homework Assignment- Due Monday 12/8

Section 6.8,

Problem 4 (see definitions in section 6.1), 9(a), 10(a),

Section 6.11

Problems 2, 3, 7(a)-(d)

Section 6.12

Problems 1, 3, 14

Section 6.13

Problems 5, 8, 9,

Section 13.2

Problem 6

Section 13.3

Problems 4, 5

## Presentation Problem for Monday 12/8

Section 13.2, Problem 4.

## Presentation Problem for Wednesday 12/3

Problem based on Section 6.13, Problem 3:

Let G be a group and for each x in G, let T_x be the inner automorphism T_x(a)=x^(-1) a x.

Define a function phi: G->Inner automorphisms of G by phi(x)=T_x.

Prove that the kernel of phi is the center of G (see definition in pg. 144) , and that phi is onto.

Then use the First Isomorphism Theorem to prove that G/Z is isomorphic to the inner automorphisms of G, where Z is the center of G.

## Course Evaluations

All students are encouraged to complete their course evaluations. Go to http://www.udmercy.edu/evaluate

Log in with your TitanConnect login credentials.

Complete the course evaluations.

Thank you.

## Presentation Problem for Monday 12/1

Section 6.12,

Problem 2.