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Quasigroups and tactical systems

โœ Scribed by Ronald D. Baker


Publisher
Springer
Year
1978
Tongue
English
Weight
354 KB
Volume
18
Category
Article
ISSN
0001-9054

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๐Ÿ“œ SIMILAR VOLUMES


Strongly 2-perfect cycle systems and the
โœ Darryn E. Bryant; Sheila Oates-Williams ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 346 KB

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.

Embedding partial extended triple system
โœ M.E. Raines; C.A. Rodger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 667 KB

In this paper, we show that any partial extended triple system (partial totally symmetric quasigroup) of order n can be embedded in a totally symmetric quasigroup of order v, v >~4n +6, v -= 2(mod4). This bound can be lowered to 4n + 2 in most cases.

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โœ Jonathan D.H. Smith ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 538 KB

Two connexions between quasigroups and quandles are established. In one direction, Joyce's homogeneous quandle construction is shown to yield a quasigroup isotopic to the loop constructed by Scimemi on the set of @-commutators of a group automorphism @ In the other direction, the universal multiplic

Quasigroups and topology
โœ I. M. James ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Springer-Verlag ๐ŸŒ French โš– 669 KB