On a characterization of T-designs

Date of Publication

1995

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Algebraic Geometry | Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Dr. Arlene A. Pascasio

Defense Panel Chair

Dr. Blessilda P. Raposa

Defense Panel Member

Dr. Severino, D. Diesto
Dr. Severino V. Gervacio

Abstract/Summary

This thesis is an exposition of Sylvia Hobart's article On a Characterization of t-designs in terms of the Inner Distribution. An inequality for o-designs is derived which holds with equality, if and only if the design is a t-design where o is less than or equal to t less than or equal to k. This inequality is then applied to the case of regular designs that is designs in which the number of blocks intersecting a given block in a given number of points is a constant. This analysis is used to characterize the Steiner system S-(4,7,23) in terms of the derived design at two points. A thorough discussion on designs as well as the details of the proofs found in Hobart's article are presented in this thesis. Examples are constructed for better understanding.

Abstract Format

html

Language

English

Format

Print

Accession Number

TG02429

Shelf Location

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

Physical Description

96 leaves

Keywords

Groups; Theory of; Geometry; Projective; Geometrical drawing; Block designs; Steiner systems

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