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akron1176409770.pdf (206.62 KB)
ETD Abstract Container
Abstract Header
NONSTANDARD HULLS OF GROUPS
Author Info
Holik, Nicklos L, III
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770
Abstract Details
Year and Degree
2007, Master of Science, University of Akron, Mathematics.
Abstract
The nonstandard hull construction, one of the most useful applications of Abraham Robinson's nonstandard analysis, is generalized to an arbitrary group. Some important connections between the classical construction as applied to vector spaces and groups are noted, and several useful results regarding this generalized construction are developed. The theory developed provides particularly interesting results when applied to certain discrete groups.
Committee
Jeffery Adler (Advisor)
Pages
49 p.
Subject Headings
Mathematics
Keywords
Nonstandard Analysis
;
Group Theory
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Citations
Holik, III, N. L. (2007).
NONSTANDARD HULLS OF GROUPS
[Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770
APA Style (7th edition)
Holik, III, Nicklos.
NONSTANDARD HULLS OF GROUPS.
2007. University of Akron, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770.
MLA Style (8th edition)
Holik, III, Nicklos. "NONSTANDARD HULLS OF GROUPS." Master's thesis, University of Akron, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176409770
Chicago Manual of Style (17th edition)
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Document number:
akron1176409770
Download Count:
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Copyright Info
© 2007, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.