Show that contains an element of order 15.

Note: is the group of even permutation of 8.

I really don't know how to start this proof, please help.

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- Sep 11th 2007, 07:45 PMtttcomraderPermutation group order
Show that contains an element of order 15.

Note: is the group of even permutation of 8.

I really don't know how to start this proof, please help. - Sep 11th 2007, 07:50 PMThePerfectHacker
- Sep 11th 2007, 08:24 PMThePerfectHackerQuote:

Originally Posted by**Bernhard Riemann**

1)Consider this is an**even**permutation, why? So .

2)Consider this is an**even**permutation, why? So .

3)Define this is an**even**permutation, why? So .

4)By my previous comment . - Sep 11th 2007, 08:26 PMtttcomrader
So I pick O = (1 2 3) and r = (4 5 6 7 8 9), they are both even permutations, and O has length 3, r has length 5, so ord(Or) = 15.

Thank you!