Visual Group Theory, Lecture 3.7: Conjugacy classes We were first introduced to the concept of conjugacy when studying normal subgroups: ... ... <看更多>

Investigating conjugacy properties, especially in symmetric groups. ... Visual Group Theory, Lecture 3.7: Conjugacy classes. ... <看更多>

After the previous video on conjugation, we can now look at conjugacy classes.You can learn more about Mathematica on my Udemy ... ... <看更多>

Given x ∈ G, we may ask: “which elements can be written as gxg−1 for some g ∈ G?” The set of all such elements in G is called the conjugacy class of x, ... ... <看更多>

The conjugacy classes are the orbits of G under conjugation of G by itself. Since G is non-abelian, its center has order p. So the class equation yields ... ... <看更多>