$𝑛$ -orbit

An $𝑛$ -orbit is a generalization of the Group action orbital. Given a group action of $𝐺$ on $Ω$ , there is a natural group action of $𝐺$ on $Ω 𝑛$ for $𝑛 \in ℕ$ , and the orbits under this induced action are called $𝑛$ -orbits. group