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# Daily Archives: August 30, 2013

## 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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## Homework Assignment 1

Let be a field contained in , and fix a number in . Recall that is the projective plane, while is the sphere of radius : This assignment is meant to show is not the same as . This assignment … Continue reading