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Algebraic Structures

  • Number of credits 7.5 Credits

About the course

The course covers the basic theory of groups rings and field, including concepts like residue classes, ideals, and isomorphisms. Applications of the underlying theory is given in combinatorics, cryptology, coding theory, and geometric constructions.
 
Further, polynomials with coefficients in a field are studied, and how zeros of a polynomial can be found in a larger field. The general theory for such field extensions is then connected to three classical geometric problems; trisection of an angle, doubling the cube, and squaring a circle, and why these are unsolvable.

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Course is given by
Dept of Mathematics and Mathematical Statistics
Contact person for the course is:
Study counselor Lars-Daniel Öhman