Date of Publication

5-1996

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Thesis Adviser

Blessilda Raposa

Defense Panel Chair

Severino Gervacio

Defense Panel Member

Shirlee Remoto
Rigor Ponsones

Abstract/Summary

Let G be a finite group of order 2n with a subset D and an element e prime such that / D / = n and(1) / D intersect Da / = n if a = e 0 if a = e prime n/2 if a is not equal to e, e prime, a membership G(2) / Da intersect &b, be prime / = 1 for any elements a and b of G. Then G is called an Hadamard group. This thesis is a detailed study about some of the basic properties of Hadamard groups. This is based on the paper of Noboru ito entitled On Hadamard Groups which appeared in the Journal of Algebra, Volume 168, Number 3 on September 15, 1994.

Abstract Format

html

Language

English

Format

Print

Accession Number

TG02535

Shelf Location

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

Physical Description

69 leaves

Keywords

Hadamard matrices; Group theory; Representations of groups; Permutation groups; Rings (Algebra); Commutative rings

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