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Spanning subsets of a finite abelian group of order pq

UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
Jennifer S. Eyl (Creator)
Institution
The University of North Carolina Wilmington (UNCW )
Web Site: http://library.uncw.edu/
Advisor
Michael Freeze

Abstract: Let G be a finite abelian group, and let S µ G be a subset of distinct nonzero elements of G. If each element g 2 G of the group can be written as a nonempty sum of elements from S, then we say S spans G nontrivially. Denote the maximum cardinality of a subset S which fails to span G nontrivially by e(G), as studied by Griggs in [5]. Griggs noted that the value of e(G) is known for all finite abelian groups G except for G = Z=pqZ where p; q are primes such that p+b2pp ¡ 2c+1 < q < 2p. We determine the value of e(G) for such groups.

Additional Information

Publication
Thesis
A Thesis Submitted to the University of North Carolina Wilmington in Partial Fulfillment of the Requirements for the Degree of Master of Science
Language: English
Date: 2009
Keywords
Abelian groups, Group algebras, Group theory
Subjects
Abelian groups
Group theory
Group algebras