Multiplicity patterns of minimal zero sequences of Zp x Zp

Date of Publication

2013

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Edmundo R. Perez

Defense Panel Member

Leonor Ruivivar
Melvin A. Vidar
Sonia Y. Tan

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG005338

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

1 computer disc ; 4 3/4 in.

Keywords

Multiplicity (Mathematics)

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