Let in the symmetric group Express as a product of transpositions in the form , with I can express it as normal transpositions, but not sure how to go about it with the first number only being 1. Thanks
Last edited by craig; May 18th 2010 at 10:05 AM.
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Originally Posted by craig Let in the symmetric group Express as a product of transpositions in the form , with I can express it as normal transpositions, but not sure how to go about it with the first number only being 1. Thanks Lemma (boring): we have Tonio
Originally Posted by tonio Lemma (boring): we have Tonio Cheers for the reply. How would I apply that to the problem where instead of , you have = ?
Originally Posted by craig Cheers for the reply. How would I apply that to the problem where instead of , you have = ? Apply the lemma for each of the cycles...!! Of course, you need 8 (which you didn't include among your possible b's in your OP. This must be a mistake, of course) Tonio
Originally Posted by tonio Of course, you need 8 (which you didn't include among your possible b's in your OP. This must be a mistake, of course) Tonio Yeh must of missed that one out. In the answers they have: So = How is it that they've got 2 s? Sorry if this is something stupid, thanks again for the replies.
Originally Posted by craig Yeh must of missed that one out. In the answers they have: So = How is it that they've got 2 s? Sorry if this is something stupid, thanks again for the replies. I wouldn't say it is stupid but it definitely seems to be careless...please do look carefully at the lemma in my first post! Tonio
Originally Posted by tonio I wouldn't say it is stupid but it definitely seems to be careless...please do look carefully at the lemma in my first post! Tonio Ahh sorry, just had a look again this morning, not sure how I didn't get it last night. Using the fact that , we have: Thanks again for the help, (and patience )
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