ABSTRACT
In this chapter we introduce two topics in group theory which can each fill an entire textbook. Therefore, one can view this chapter an giving exposure to this two topics with a light overview. In Section 5.1 we introduce the notion of a free group, which is a group generated by a set of elements, as a prelude to Section 5.2, group presentations, in which the group generators have additional rules for how they relate to each other. The free groups are free of these additional rules. Finally, in Section 5.3, we introduce group representations, in which we represent group elements by matrices.
