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Strongly 2-perfect cycle systems and their quasigroups

✍ Scribed by Darryn E. Bryant; Sheila Oates-Williams

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 346 KB
Volume: 167-168
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(96)00225-7

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✦ Synopsis

A recent result of Bryant and Lindner shows that the quasigroups arising from 2-perfect m-cycle systems form a variety only when m = 3, 5 and 7. Here we investigate the situation in the case where the distance two cycles are required to be in the original system.

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