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:

    There is ... a class of fancies, of exquisite delicacy, which are not thoughts, and to which, as yet, I have found it absolutely impossible to adapt language.... Now, so entire is my faith in the power of words, that at times, I have believed it possible to embody even the evanescence of fancies such as I have attempted to describe.
    Edgar Allan Poe (1809–1849)