Math 31 Homework #14

A thorough advocate in a just cause,
a penetrating mathematician facing the starry heavens,
both alike bear the semblence of divinity.
Goethe

Reading

Read what we will cover in class on 2/5: Chapter 9

When reading Chapter 9 pay special attention to the following concepts:

  • normal subgroup, the normal subgroup test, the examples of normal subgroups, factor groups (this is why we care about normal subgroups), the examples of factor groups, the applications of factor groups: Theorems 9.3, 9.4, 9.5.

Problems

The following problems are due by the beginning of class on Wednesday 2/3.
  • Ch 8 : 28, 45, 47, 52, 53.
  • Ch 9 : 1, 3, 7, 10, 12, 20, 21, 35, 37, 41, 42.