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Communications in Algebra Volume 34, 2006 - Issue 1
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Original Articles

On Finite Racks and Quandles

Pedro Lopes Departamento de Matemática, Instituto Superior Técnico, Lisboa, PortugalCorrespondence[email protected]
&
Dennis Roseman Department of Mathematics, The University of Iowa, Iowa City, Iowa, USA
Pages 371-406 | Received 28 Sep 2004, Accepted 17 Mar 2005, Published online: 03 Sep 2006
 
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ABSTRACT

We revisit finite racks and quandles using a perspective based on permutations which can aid in the understanding of the structure. As a consequence we recover old results and prove new ones. We also present and analyze several examples.

Communicated by M. Dixon.

Mathematics Subject Classification:

ACKNOWLEDGMENT

The first author acknowledges support by Programa Operacional “Ciência, Tecnologia, Inovação” (POCTI) of the Fundação para a Ciência e a Tecnologia (FCT) cofinanced by the European Community fund FEDER.

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