# Tag Archives: Triangle Group

## Lecture 13: Wednesday, September 18, 2013

In Lecture 11 and Lecture 12, we discussed examples of Riemann Surfaces and their relation with the Riemann Sphere . Today, we put things into perspective by considering the larger picture: we discuss tesselations of the upper half plane, covering … Continue reading

## Lecture 8: Friday, September 6, 2013

Over the next couple of lectures, we will generalize cyclic groups and dihedral groups . Given positive integers , , and , formally define the abstract group Such a group is called a Triangle Group, although it is also known … Continue reading

Posted in MA 59800
Tagged deltille, kisquadrille, kisrhombille, Mobius triangle, Spherical triangle, Triangle Group, von Dyck Group, Wallpaper Group
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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