Let be a permutation of a set A We shall say moves a A if (a) a If A is a finite set, how many elements are moved by a cycle S A of length n ...

If the cycle has length 1 the ...

Let be a permutation of a set A. We shall say moves a A

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Let σ be a permutation of a set A. We shall say "σ moves a ∈ A" if σ(a) ≠ a. If A is a finite set, how many elements are moved by a cycle σ ∈ S_A of length n?

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Dec 30, 2022 05:08 AM

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Let be a permutation of a set A. We shall say moves a A

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A First Course In Abstract Algebra

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