An algorithm on the construction of finite projective and affine planes through cyclic block designs
Date of Publication
1995
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper formalizes the method of generating projective planes using difference sets. It establishes a proof on a necessary and sufficient condition for a projective plane to exist through difference sets using Hall's theorem on cyclic block designs. This condition is then used to formulate an algorithm on the construction of finite projective planes. Furthermore, affine planes are also generated from projective planes of the same order using the algorithm and the embedding theorem.
Abstract Format
html
Language
English
Format
Accession Number
TU07053
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
98 leaves
Keywords
Algorithms; Affine differential geometry; Block designs; Combinatorial analysis; Projective planes
Recommended Citation
Jimenez, C. V. (1995). An algorithm on the construction of finite projective and affine planes through cyclic block designs. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16253
