orbit

Let $G$ be a group, $X$ a set, and $\cdot :G\times X⟶X$ a group action. For any $x\in X$, the orbit of $x$ under the group action is the set

$$\{g\cdot x\mid g\in G\}\subset X.$$

Title	orbit
Canonical name	Orbit
Date of creation	2013-03-22 12:12:20
Last modified on	2013-03-22 12:12:20
Owner	djao (24)
Last modified by	djao (24)
Numerical id	6
Author	djao (24)
Entry type	Definition
Classification	msc 20M30