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I found what an element of order 15 in A_8 looks like using Theorem 5.3 on page 101 of the textbook (sixth edition). Is there a way to prove such an element's existence without just guessing until you find an example? | I found what an element of order 15 in A_8 looks like using Theorem 5.3 on page 101 of the textbook (sixth edition). Is there a way to prove such an element's existence without just guessing until you find an example? | ||
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| + | What does the set A consist of? Is A8 the list of all possible permutations of 1-8? | ||
Revision as of 18:43, 27 January 2009
I found what an element of order 15 in A_8 looks like using Theorem 5.3 on page 101 of the textbook (sixth edition). Is there a way to prove such an element's existence without just guessing until you find an example?
What does the set A consist of? Is A8 the list of all possible permutations of 1-8?
