Orbits were defined before Exercise 11 Leta, b A and a S A Show that if O a and O b have an element in common then O a and O b Orbits defined Let A be a set and let S A For a fixed a A, the set O a n (a) n Z is the orbit of a under ...

Let c be an element in both O a and O b Then ...

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 ∈ S_A- Show that if O_a.σ and O_b.σ have an element in common then O_a.σ and O_b.σ.

Orbits defined

Let A be a set and let σ ∈ S_A· For a fixed a ∈ A, the set

O_a.σ- = {σⁿ(a) |n ∈ Z}

is the orbit of a under σ.

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Orbits were defined before Exercise 11. Leta, b A and a S A - Show

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A First Course In Abstract Algebra

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