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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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    $\begingroup$ 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. $\endgroup$
    – Mariano Suárez-Álvarez
    Commented Jul 26, 2010 at 7:58
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    $\begingroup$ I've edited the question to make it readable, but I second Mariano's wish that the OP should define the notion of admissible. $\endgroup$
    – José Figueroa-O'Farrill
    Commented Jul 26, 2010 at 14:01
  • $\begingroup$ 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. $\endgroup$
    – Noah Snyder
    Commented Jul 26, 2010 at 14:27
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    $\begingroup$ Looks like OP is talking about this: blms.oxfordjournals.org/cgi/content/abstract/35/2/191 $\endgroup$
    – Sonia Balagopalan
    Commented Jul 26, 2010 at 14:36

1 Answer 1

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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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