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Thesis
COMPLETING PARTIAL TRANSVERSALS FOR CAYLEY TABLES OF EVEN ORDER ABELIAN GROUPS
Master of Science (MS), University of West Florida
Spring 2022
Abstract
In 2021 Kuhl, McGinn, and Schroeder proved that a partial transversal of length k =2,3of an Abelian groups of odd order is completable to a transversal if and only if n ≥3k −1 or
n ∈{k,k +1}. In the paper, we examine the analogous question of completing partial transversals
of length k =2 for non-cyclic Abelian groups of even order of the form G =Z2 ×Z2 ×R where
R is a direct product of prime or prime power cyclic groups
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Details
- Title
- COMPLETING PARTIAL TRANSVERSALS FOR CAYLEY TABLES OF EVEN ORDER ABELIAN GROUPS
- Resource Type
- Thesis
- Contributors
- Donald McGinn (Advisor)Jaromy Kuhl (Committee Member)Vy Nguyen (Committee Member)
- Number of pages
- 25
- Identifiers
- 99380090296606600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Mathematics and Statistics
- Language
- English
- Awarding Institution
- University of West Florida; Master of Science (MS)
- Theses and Dissertations
- Master of Science (MS), University of West Florida