Question: 5. Let G be a group and H a subgroup of G. Then H acts on G by left multiplication (the restriction of the

5. Let G be a group and H a subgroup of G.

5. Let G be a group and H a subgroup of G. Then H acts on G by left multiplication (the restriction of the left multiplication action to H). What are the H-orbits under this action? When does H act transitively? What is the isotropy subgroup of an element g E G for the H-action?

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