# 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.

Spanning subsets of a finite abelian group of order pq

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Created on 1/1/2009

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## 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

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