Ivan Shishkin, Birch Grove

Conjugacy class

Definition / General algebra / Usable

A conjugacy class of an element $x$ from a group $(G,\cdot)$ is the set $\{gxg^{-1}, g\in G\}$ .

It can also be viewed as the orbit of $x$ under the action $(g,x)\in G\times X\longmapsto gxg^{-1}\in X$ of $G$ over $X:=G$ .

Problems using this concept (6)

Groups with a single conjugacy class Groups with a single conjugacy class Finite groups with 2 conjugacy classes Finite groups with 2 conjugacy classes Finite groups with 3 conjugacy classes Finite groups with 3 conjugacy classes

Problems using this concept (spoiler) (0)

No listed problems use this concept as a spoiler yet.