MA 336 - Modern Algebra

MA 336 - Modern Algebra

A rigorous introduction to group theory and related areas with applications as time permits. Topics include proof by induction, greatest common divisor, and prime factorization; sets, functions, and relations; definition of groups and examples of other algebraic structures; and permutation groups, Lagrange's Theorem, and Sylow's Theorems. Typical application: error correcting group codes.

Sample text: Numbers Groups and Codes, Humphries and Prest, Cambridge U.P.

Prerequisites:    MA 232

Course Objectives

Learning Outcomes

Textbooks

Lauritzen, Neils, Concrete Abstract Algebra, Cambridge University Press

Humphries and Prest, Numbers Groups and Codes, Cambridge U.P.