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Isomorphism
Examining the idea of isomorphism in group theory, this program shows how two groups may really be the same, even though they look totally different at first sight. Produced by the Open University. (25 minutes)(more details) |
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Cosets
This program provides an introduction to Lagrange's theorem, followed by the concept of cosets. Produced by the Open University. (25 minutes)(more details) |
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Cayley's Theorem
Models and computer animation are used to explore permutations arising from symmetries of the double tetrahedron. Produced by the Open University. (25 minutes)(more details) |
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The Counting Theorem
This program explores the orbit-stabilizer theorem in group theory, showing how this leads to the counting theorem, which is used to solve counting problems. Produced by the Open University. (25 minutes)(more details) |
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Conjugacy and Fixed Points
By using a variety of graphics sequences, animations, and three-dimensional models, a geometric characterization of conjugacy is established. Produced by the Open University. (25 minutes)(more details) |
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