conjugacy class
Let G a group, and consider its operation (action) on itself give by conjugation
, that is, the mapping
(g,x)↦gxg-1 |
Since conjugation is an equivalence relation, we obtain a partition
of G into equivalence classes
, called conjugacy classes
. So, the conjugacy class of X (represented Cx or C(x) is given by
Cx={y∈X:y=gxg-1for some g∈G} |
Title | conjugacy class |
---|---|
Canonical name | ConjugacyClass1 |
Date of creation | 2013-03-22 14:01:39 |
Last modified on | 2013-03-22 14:01:39 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 5 |
Author | drini (3) |
Entry type | Definition |
Classification | msc 20E45 |