On groups formed from 2 x 2 matrices with entries from Zp
Date of Publication
2006
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Edmundo D. Perez, Jr.
Defense Panel Member
Jose Tristan F. Reyes
Alana R. Hernandez
Rigor B. Ponsones
Abstract/Summary
This paper is an exposition of the article written by Gregor Olsavsky entitled Groups Formed From 2 x 2 Matrices Over Zp that appeared in volume 63, number 4, October 1990 Mathematics Magazine. It discusses the additive and multiplicative groups formed from 2 x 2 matrices with entries from the field Zp. There are twenty seven theorems discussed, divided into two sections. The first section covers the groups formed under addition modulo p, their orders, groups they are isomorphic to and other such characteristics. The second section covers the groups formed under multiplication modulo p, their orders which they are isomorphic to and includes a theorem that gives the formula for the inverse of a particular form of matrix in the group.
Abstract Format
html
Language
English
Format
Accession Number
TU13533
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
v, 78 leaves : ill.
Keywords
Matrices; Algebra, Abstract
Recommended Citation
Simon, J. L., & Matias, J. (2006). On groups formed from 2 x 2 matrices with entries from Zp. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/17422
