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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

edited Jul 27 2010 at 0:43

Greg Kuperberg
36.3k●2●117●179

asked Jul 26 2010 at 7:53

Morteza
31●1

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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 2010 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 2010 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 2010 at 14:27

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Looks like OP is talking about this: blms.oxfordjournals.org/cgi/content/abstract/35/2/… – Sonia Balagopalan Jul 26 2010 at 14:36

Sonia Balagopalan · Answer 1 · 2010-07-26 15:24:00Z UTC

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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.

answered Jul 26 2010 at 15:24

Sonia Balagopalan
810●1●8●16

Is the dihedral group admissible?

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