Read: Section 2.6.
- There is a lot to read in 2.6—try to go slowly and carefully.
Turn in: 2.68, 2.69, 2.71, 2.72(b,c)
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For 2.72, you first need to draw a vertex for each element of your group. To do this, you need to choose a way to represent the elements, and there are often (equally good) choices to make. Sometimes there is an “obvious” choice like \(R_4 = \{e,r,r^2,r^3\}\), but you could also choose \(R_4 = \{ r,r^2,r^3,r^4 \}\) if you want. I recommend making your choice based on how the elements were labeled when you made your group table in the previous section.
Now, once you make a vertex for each element of the group, you need to draw an arrow coming out of each vertex for each element of the generating set. When you do this, remember that the arrow corresponds to “multiplying” the vertex element on the left by the element corresponding to the arrow.