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What is Class Equation and Conjugacy in Groups about?

The document summarizes key concepts relating to group actions and the class equation. It defines conjugation as a group acting on itself by conjugation. The orbits under this action are conjugacy classes. The class equation relates the order of the group to the number of fixed points and sizes of conjugacy classes. It is of the form: the order of the group equals the number of central elements plus the sum over conjugacy classes of the index of the centralizer. Examples are provided to illustrate the class

Author

vishrabag

Language

EN