✦ LIBER ✦

Quasigroups and quandles

✍ Scribed by Jonathan D.H. Smith

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 538 KB
Volume: 109
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90297-s

No coin nor oath required. For personal study only.

✦ Synopsis

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 multiplication group construction of quasigroup theory is extended to quandles. The group of a knot becomes the universal right multiplication group of the knot quandle.

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