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2005 Matrices and finite quandles
Benita Ho, Sam Nelson
Homology Homotopy Appl. 7(1): 197-208 (2005).

Abstract

Finite quandles with n elements can be represented as n x n matrices. We show how to use these matrices to distinguish all isomorphism classes of finite quandles for a given cardinality n, as well as how to compute the automorphism group of each finite quandle. As an application, we classify finite quandles with up to 5 elements and compute the automorphism group for each quandle.

Citation

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Benita Ho. Sam Nelson. "Matrices and finite quandles." Homology Homotopy Appl. 7 (1) 197 - 208, 2005.

Information

Published: 2005
First available in Project Euclid: 13 February 2006

zbMATH: 1102.57008
MathSciNet: MR2175299

Subjects:
Primary: 20Nxx
Secondary: 57M27

Rights: Copyright © 2005 International Press of Boston

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Vol.7 • No. 1 • 2005
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