Category:Transitive Group Actions
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This category contains results about Transitive Group Actions.
Let $G$ be a group.
Let $S$ be a set.
Let $*: G \times S \to S$ be a group action.
The group action is transitive if and only if for any $x, y \in S$ there exists $g \in G$ such that $g * x = y$.
That is, if and only if for all $x \in S$:
- $\Orb x = S$
where $\Orb x$ denotes the orbit of $x \in S$ under $*$.
Pages in category "Transitive Group Actions"
The following 7 pages are in this category, out of 7 total.