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I want to ask:

When is the dihedral group $D_n$ admissible? Or, when does the Latin square of the Cayley table of a dihedral group have a transversal?

thanks

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You should at least provide a reference where the specific meaning of the word 'admissible' you have in mind is explained: it has way too may meanings! Also, making sure the spelling in your question is correct will help attracting good answers. –  Mariano Suárez-Alvarez Jul 26 '10 at 7:58
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I've edited the question to make it readable, but I second Mariano's wish that the OP should define the notion of admissible. –  José Figueroa-O'Farrill Jul 26 '10 at 14:01
    
It'd also be good for the OP to provide some motivation for how this question came up and why it's interesting. As it stands it looks like possible homework to me. –  Noah Snyder Jul 26 '10 at 14:27
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Looks like OP is talking about this: blms.oxfordjournals.org/cgi/content/abstract/35/2/191 –  Sonia Balagopalan Jul 26 '10 at 14:36
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1 Answer

By theorems 5 and 6 of this paper, the answer is yes when n is even and no when n is odd.

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