Problem Set 5

(5 points)

Read Chapter 3 of Gallian.

Write down 5 questions that come to mind as you read it.

Write out the Cayley table that we started in class. The elements are
{e=(0,0), a=(1,0), b=(2,0), c=(0,1), d=(1,1), f=(2,1)} and the product is given by summing mod 3 in the first coordinate and summing mod 2 in the second coordinate. We started this in class - get notes from someone if you were absent.

As you go through, figure out the order of a few of these elements.