Tag Archives: Dihedral Group

Lecture 9: Monday, September 9, 2013

In the previous lecture, we discussed how to draw triangles in the plane and on the unit sphere such that the triangles tile these surfaces. In this lecture, we discuss triangle groups in more detail by focusing on discrete symmetries … Continue reading

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Lecture 7: Wednesday, September 4, 2013

Let denote either , , or . The collection of rational functions which have are called Möbius Transformations. That is, they are in the form where . We denote this collection by . We found in the previous lecture that … Continue reading

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Lecture 6: Friday, August 30, 2013

Groups were first studied as objects acting on sets. For example, we can consider the group of rotations of a regular polygon. Eventually, we wish to consider a specific type of group acting on the collection of rational functions over … Continue reading

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