Homomorphisms of projective planes

Date of Publication

1999

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This thesis concerns homomorphisms between projective planes, and is an exposition of the first part of the article Homomorphisms of Affine and Projective Planes by J. W. Lortimer and M. Buccholz, Mathematics Magazine Vol. 5, No. 4, September 1982, pages 195-204.

An elementary treatment of homomorphisms between projective planes is presented. Characterization of monomorphisms, epimorphisms and isomorphisms of projective planes are proved using only the axioms of a projective plane. A geometric analogue of the first isomorphism theorem for groups and rings is discussed.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU09230

Shelf Location

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

Physical Description

84 leaves

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