Connected quandles of size pq and 4p

2019/07/17 by Marco Bonatto, Bonatto, Marco
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · doi:10.48550/arxiv.1907.07716

openalex publication_date 2019/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify all non-simple connected quandles of size pq and 4p where p,q are primes, as a special family of locally strictly simple quandles (i.e. quandles for which all proper subquandles are strictly simple). In particular we classify all latin quandles of size pq and 4p and we show that latin quandles of size 8p are affine.

Citations

• A classifying invariant of knots, the knot quandle

Related

• On Simply Connected Quandles
• Latin quandles of size 16p
• On connected quandles of prime power order
• Classification of simple quandles of small order
• Principal and Doubly Homogeneous Quandles