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 Web Site: Spring 2007
Lauritzen, Neils, Concrete Abstract Algebra, Cambridge University Press
Humphries and Prest, Numbers Groups and Codes, Cambridge U.P.
Dr. Robert Gilman
Professor and Department Director
Course Web Sites