"In this paper, we will use additive notation and will let O be the identity element of our groups. Also, let it be agreed that by "group" we mean "abelian group." First, we wish to consider cyclic groups. A group G is said to be cyclic if it can be generated by a single element, i.e., there is an element a in G such that all other elements in G are integral multiples of a. If G is infinite, it is isomorphic to the additive group opf integers. If G has n elements, G is isomorphic to the additive group of integers mod n"--Chapter 1. / Typescript. / "June, 1959." / "Submitted to the Graduate School of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Advisor: Paul J. McCarthy, Professor Directing Paper. / Includes bibliographical references.
Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_257199 |
Contributors | Neergaard, James R. (authoraut), McCarthy, Paul J. (professor directing thesis.), Florida State University (degree granting institution) |
Publisher | Florida State University, Florida State University |
Source Sets | Florida State University |
Language | English, English |
Detected Language | English |
Type | Text, text |
Format | 1 online resource (iii, 41 leaves), computer, application/pdf |
Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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