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I was wandering how do you know when to use this cause I think I got confused on the last homework. | I was wandering how do you know when to use this cause I think I got confused on the last homework. | ||
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| + | Remember, <math>A_{n}</math> is the group of all permutations of a set of order n, so the order is only n!/2 if you're looking at a group isomorphic to <math>A_{n}</math>. In that case you can use it, but in any other case, you can't. | ||
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| + | --[[User:Dfreidin|Dfreidin]] 22:11, 14 September 2008 (UTC) | ||
Revision as of 17:11, 14 September 2008
Theorem 5.7 For n>1, A_n has order n!/2.
I was wandering how do you know when to use this cause I think I got confused on the last homework.
Remember, $ A_{n} $ is the group of all permutations of a set of order n, so the order is only n!/2 if you're looking at a group isomorphic to $ A_{n} $. In that case you can use it, but in any other case, you can't.
--Dfreidin 22:11, 14 September 2008 (UTC)
