On groups formed from 2 x 2 matrices with entries from Zp

• Main Authors: Simon, Jose L., Jr., Matias, Jeffrey
• Format: text
• Language: English
• Published: Animo Repository 2006
• Subjects: Matrices; Algebra, Abstract
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/17422
• Institution: De La Salle University

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.