Date of Award
Master of Arts (MA)
The purpose of this paper is to develop and discuss a particular type of group, the free group. First the construction of the group is given, followed by the proof that it is in fact a group and a discussion of its properties. Included in this discussion are several formal proofs of some of its properties, and examples of free groups. One of these properties relates free groups to the theory of groups as a whole J and it states: "Every group is isomorphic to a factor group of a free group" [3, p.128]. Closely related to this property is the topic of defining relations, which is then developed, discussed and exemplified.
Copyright 1970 Dennis Eugene Huebner
Huebner, Dennis Eugene, "A Study of Free Groups" (1970). Master's Theses. 1290.