Matrices and Finite Quandles
By B. Ho, Sam Nelson. 2004
52 citations recorded by the source corpus.
Finite quandles with n elements can be represented as n-by-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.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d993cddf538ce38f66772585d925b06b9ca24883
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- David Stanovsk'y
- Pvremysl Jedlivcka
- Anna Zamojska-Dzienio
- Agata Pilitowska
- Sam Nelson
- J. Vo
- Mohamed Elhamdadi
- Louis H. Kauffman
In Mathematical Physics
- David Stanovsk'y
- Pvremysl Jedlivcka
- Anna Zamojska-Dzienio
- Agata Pilitowska
- Sam Nelson
- Mohamed Elhamdadi
- Victoria Lebed
Citations in the corpus
- Automorphism Groups of Quandles (2010, background): “In [9], Ho and Nelson gave the list of quandles (up to isomorphism) of orders n = 3, n = 4 and n = 5 and determined their automorphism groups.”
- The structure of medial quandles (2014, background): “[9] B. Ho, S. Nelson, Matrices and Finite Quandles, Homology, Homotopy and Applications, 7 (2005), no. 1, 197-208.”
- Matrices and finite biquandles (2006, background): “K eyw ords:Finite biquandles,virtualknots,knotinvariants 2000 M SC :57M 25,57M 27”