MATH 316, Applied Math and Modeling II (Cryptology)

MATH 302, Abstract Algebra II

Overview We will focus on the theory of groups, abstract structures that are more general than rings, domains, and fields, which were studied in Abstract Algebra I. Because groups have fewer axioms than rings, they are more diverse and have applications to a broader range of topics. The first half of the semester will be devoted to group theory itself; afterwards we will briefly review the theory of polynomial rings, vector spaces, and field extensions so that we can study Galois theory which ties many of these ideas together. Finally we will study applications of abstract algebra to coding theory and/or classical questions of constructibility of geometric objects and solvablility of polynomial equations by radicals.

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UST Math Department