Math 31 Homework #11

Sixty minutes of thinking of any kind is bound to lead to
confusion and unhappiness.
James Thurber

Reading

Read what we will cover in class on 1/29: Chapter 7

When reading Chapter 7 pay special attention to the following concepts:

  • coset, definition and examples, properties of cosets, Lagrange's Theorem and it's four corollaries, the application of cosets to permutation groups, stabilizer, orbit and the stabilizer-orbit theorem.

Problems

The following problems are due by the beginning of class on Friday 1/29.
  • Ch 7 : 1, 2, 3, 4, 5, 6, 7, 8, 11.
  • For 11, show that the f we defined in class is 1-1 and onto.