On the Cycle Structure of Finite Racks and Quandles

2019/12/11 by Naqeeb Ur Rehman, Rehman, Naqeeb ur
Computer Science · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1912.05115

openalex publication_date 2019/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide obstructions on the cycle structure of inner automorphisms of finite indecomposable racks and quandles and verify some cases of a conjecture by C. Hayashi.

Related

• On Finite Racks and Quandles
• On a conjecture about profiles of finite connected racks
• Enumerating finite racks, quandles and kei
• Foundations of topological racks and quandles
• Finitely stable racks and rack representations