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- Groups, Subgroups, and Quotient Groups
- Symmetry Groups in Two and Three Dimensions
- Polya-Burnside Method
- Rings, Subrings, Ideals, and Quotient Rings
- The Morphism Theorem for Groups and Rings
- Polynomial and Euclidean Rings
- Fields, Field Extensions, and Galois Fields
- Geometrical Constructions
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This course presents the theory of abstract algebra, with
particular emphasis on applications involving symmetry, matrix
and crystallographic groups, and constructibility.
Prerequisites: M51A and M52B or equivalent. (3 units).
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