Let a group \(G\) act on a set \(X\). The action is transitive if for every pair \(x, y\in X\) there exists \(g\in G\) with \(g\cdot x = y\).
When is a group action $G \actson X$ transitive?
Transitive group action
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FD-KSKDG
Let a group \(G\) act on a set \(X\). The action is transitive if for every pair \(x, y\in X\) there exists \(g\in G\) with \(g\cdot x = y\).