Conjugacy Class

Conjugacy Class

In mathematics, especially group theory, the elements of any group may be partitioned into conjugacy classes; members of the same conjugacy class share many properties, and study of conjugacy classes of non-abelian groups reveals many important features of their structure. In all abelian groups every conjugacy class is a set containing one element (singleton set).

Functions that are constant for members of the same conjugacy class are called class functions.

Read more about Conjugacy Class:  Definition, Examples, Properties, Conjugacy Class Equation, Conjugacy of Subgroups and General Subsets, Conjugacy As Group Action, Geometric Interpretation

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