A Study of Free Groups

Author

Dennis Eugene Huebner, Fort Hays Kansas State College

Document Type

Thesis - campus only access

DOI

10.58809/VLIE5282

Date of Award

Spring 1970

Degree Name

Master of Arts (MA)

Department

Math

Advisor

Ellen Veed

Abstract

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.

Comments

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Recommended Citation

Huebner, Dennis Eugene, "A Study of Free Groups" (1970). Master's Theses. 1290.
DOI: 10.58809/VLIE5282
Available at: https://scholars.fhsu.edu/theses/1290

Rights

© 1970 Dennis Eugene Huebner