Math 31 Homework #3

The dictionary is the only place where success comes before work.
Arthur Brisbane

Quiz

Remember that we have a quiz on Monday 1/11 on Lectures 1 - 3.

Reading

Read what we will cover in the next class: Chapters 1, 3

When reading Chapter 1 pay special attention to the following concepts:

  • Symmetries of the square, the Cayley Table for D4, note the definition of Dn.
When reading Chapter 3 pay special attention to the following concepts:
  • < a >, Theorem 3.4 and its proof; Z(G), Theorem 3.5 and its proof; C(a), Theorem 3.6 and its proof.

Problems

The following problems are due by the beginning of class on Friday 1/8.
  • Prove the left cancellation half of Theorem 2.2.
  • Ch 2 : 20, 23, 26, 27, 32.
  • Ch 3 : 2, 3, 4, 6, 7, 8.