Matrices and Finite Quandles
几何拓扑
2007-05-23 v3
摘要
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.
引用
@article{arxiv.math/0412417,
title = {Matrices and Finite Quandles},
author = {Benita Ho and Sam Nelson},
journal= {arXiv preprint arXiv:math/0412417},
year = {2007}
}
备注
12 pages, informal undergraduate research. Published version includes some updates and new references