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# Tag Archives: Symmetric Group

## 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

## 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

Posted in MA 59800
Tagged Abelian Group, Alternating Group, Automorphism, Dihedral Group, Endomorphism, General Linear Group, Group Action, Group Homomorphism, Isomorphism, Matrix Group, Mobius Transformation, Polynomial, Rational Function, Regular Polygon, Special Linear Group, Symmetric Group
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