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What is the maximum order of any element in A10

Chapter 5, Problem 10E

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QUESTION:

Problem 10E

What is the maximum order of any element in A10?

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QUESTION:

Problem 10E

What is the maximum order of any element in A10?

ANSWER:

Step 1 of 4

“A  -cycle is odd (even), if and only if  is odd (even)”

We shall provide a proof of this proposition.

Let  .Then we obtain

, which contains  2-cycles, completing the proof of this proposition.

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