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

Famous quotes containing the word class:

    You must drop all your democracy. You must not believe in “the people.” One class is no better than another. It must be a case of Wisdom, or Truth. Let the working classes be working classes. That is the truth. There must be an aristocracy of people who have wisdom, and there must be a Ruler: a Kaiser: no Presidents and democracies.
    —D.H. (David Herbert)