Algebra notes / § 1.2 / Element order
Why does this cycle have order 3?
Let σ = (1 2 3). Repeated applications send element 1 along:
Neither of the first two powers is the identity. After the third, every element is back in place:
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Algebra notes / § 1.2 / Element order
Let σ = (1 2 3). Repeated applications send element 1 along:
Neither of the first two powers is the identity. After the third, every element is back in place:
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