Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.
Concept
Conjugacy class
Summary
In mathematics, especially group theory, two elements a and b of a group are conjugate if there is an element g in the group such that b = gag^{-1}. This is an equivalence relation whose equivalence classes are called conjugacy classes. In other words, each conjugacy class is closed under b = gag^{-1} for all elements g in the group.
Members of the same conjugacy class cannot be distinguished by using only the group structure, and therefore share many properties. The study of conjugacy classes of non-abelian groups is fundamental for the study of their structure. For an abelian group, each 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.
Definition
Let G be a group. Two elements a, b \in G are conjugate if there exists an element g \in G such th
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Related publications
Loading
Related people
Loading
Related units
Loading
Related concepts
Loading
Related courses
Loading
Related lectures
Loading