QUASI-GROUPS AND QUANDLES

被引：2

作者：

SMITH, JDH

机构：

[1] Department of Mathematics, Iowa State University, Ames

来源：

DISCRETE MATHEMATICS | 1992年 / 109卷 / 1-3期

关键词：

D O I：

10.1016/0012-365X(92)90297-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 phi-commutators of a group automorphism phi. 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.

引用

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页码：277 / 282

页数：6

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