Publisher： Cambridge University Press
E-ISSN： 1755-1633|44|3|381-385
ISSN： 0004-9727
Source： Bulletin of the Australian Mathematical Society, Vol.44, Iss.3, 1991-12, pp. : 381-385
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Abstract
Running a computer search for new, cyclic, 2-perfect 6-cycle systems of order 13 and constructing the quasigroups which arise from such systems enabled the author to establish that there are at most two such non-isomorphic systems. Then by using two-variable laws of the quasigroups it is shown that there are exactly two non-isomorphic 2-perfect 6-cycle systems of order 13 which are cyclic.
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