Conjugacy class

Given an el­e­ment \(g\) of a group \(G\), the con­ju­gacy class of \(g\) in \(G\) is \(\{ x g x^{-1} : x \in G \}\). It is the col­lec­tion of el­e­ments to which \(g\) is con­ju­gate.

ex­am­ples class equa­tion it is the sta­bil­iser of a cer­tain ac­tion, which we can show con­di­tion­ally on the right requisites


  • Mathematics

    Math­e­mat­ics is the study of num­bers and other ideal ob­jects that can be de­scribed by ax­ioms.