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:

    We are the party of all labor.
    The whole earth shall be ours to share
    And every race and craft our neighbor.
    No idle class shall linger there
    Like vultures on the wealth we render
    From field and factory, mill and mine.
    Tomorrow’s sun will rise in splendor
    And light us till the end of time.
    Eugène Pottier (1816–1887)