Multiplicity patterns of minimal zero sequences of Zp x Zp
If G is a nite abelian group, let MZS(G k) denote the set of all minimal zero sequences of G with length k. In the class of groups G = Zp Zp, where p is an odd prime, this thesis discusses the structure of the elements in MZS(G k) with maximal length k, known as the Davenport constant. The multiplic...
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oai:animorepository.dlsu.edu.ph:etd_masteral-112112021-01-18T05:31:24Z Multiplicity patterns of minimal zero sequences of Zp x Zp Laylo, Vedes Ann Tagle If G is a nite abelian group, let MZS(G k) denote the set of all minimal zero sequences of G with length k. In the class of groups G = Zp Zp, where p is an odd prime, this thesis discusses the structure of the elements in MZS(G k) with maximal length k, known as the Davenport constant. The multiplicity pattern of the minimal zero sequences of maximal length over Zp Zp are also determined. Furthermore, additional results which strengthen a known theorem about the multiplicity pattern of such sequences are presented. 2013-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/4373 Master's Theses English Animo Repository Multiplicity (Mathematics) |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
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English |
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Multiplicity (Mathematics) |
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Multiplicity (Mathematics) Laylo, Vedes Ann Tagle Multiplicity patterns of minimal zero sequences of Zp x Zp |
| description |
If G is a nite abelian group, let MZS(G k) denote the set of all minimal zero sequences of G with length k. In the class of groups G = Zp Zp, where p is an odd prime, this thesis discusses the structure of the elements in MZS(G k) with maximal length k, known as the Davenport constant. The multiplicity pattern of the minimal zero sequences of maximal length over Zp Zp are also determined. Furthermore, additional results which strengthen a known theorem about the multiplicity pattern of such sequences are presented. |
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text |
| author |
Laylo, Vedes Ann Tagle |
| author_facet |
Laylo, Vedes Ann Tagle |
| author_sort |
Laylo, Vedes Ann Tagle |
| title |
Multiplicity patterns of minimal zero sequences of Zp x Zp |
| title_short |
Multiplicity patterns of minimal zero sequences of Zp x Zp |
| title_full |
Multiplicity patterns of minimal zero sequences of Zp x Zp |
| title_fullStr |
Multiplicity patterns of minimal zero sequences of Zp x Zp |
| title_full_unstemmed |
Multiplicity patterns of minimal zero sequences of Zp x Zp |
| title_sort |
multiplicity patterns of minimal zero sequences of zp x zp |
| publisher |
Animo Repository |
| publishDate |
2013 |
| url |
https://animorepository.dlsu.edu.ph/etd_masteral/4373 |
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