# orbit

Let $G$ be a group, $X$ a set, and $\cdot:G\times X\longrightarrow X$ 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 Orbit 2013-03-22 12:12:20 2013-03-22 12:12:20 djao (24) djao (24) 6 djao (24) Definition msc 20M30