Let $X$ and $Y$ be two sets. Assume $X$ and $Y$ are $G$-free action ($G$ is a group). Then $X\times Y$ is a $G$-free action via the diagonal action. My question is why $$(X/G) \times Y = (X\times Y)/G ?$$ where $X/G$ and $(X\times Y)/G$ are orbit spaces
2026-03-30 14:54:36.1774882476
Group Actions: Orbit Space 2
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