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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.
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Dr. Robert Gilman
Professor and Department Director
Kidde
Room 100
Phone: 201.216.5449
Fax: 201.216.8321
rgilman@stevens.edu Course Index
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