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Non-isomorphic 2-perfect 6-cycle systems of order 13
Published online by Cambridge University Press: 17 April 2009
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 381 - 385
- Copyright
- Copyright © Australian Mathematical Society 1991
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