Question: Let n be an even positive integer. Prove that A,, has an element of order greater than n iff n 28.

Let n be an even positive integer. Prove that A,, has an element of order greater than n iff n 28.

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Let A be a group of even order n First suppose that n 8 Then the only possible orders of elements in A are 1 2 4 and 8 by Lagranges Theorem Therefore ... View full answer

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