Orbits were defined before Exercise 11. Leta, b A and a S A - Show
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Orbits were defined before Exercise 11. Leta, b ∈ A and a ∈ SA- Show that if Oa.σ and Ob.σ have an element in common then Oa.σ and Ob.σ.
Orbits defined
Let A be a set and let σ ∈ SA· For a fixed a ∈ A, the set
Oa.σ- = {σn(a) |n ∈ Z}
is the orbit of a under σ.
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