TL;DR
This paper introduces the orbit group of a quandle, explores its properties, and demonstrates its ability to count the number of orbits in specific quandles, enriching the understanding of quandle connectivity.
Contribution
It defines the orbit group of a quandle, computes it for basic examples, and links it to the counting of orbits, providing new insights into quandle structure.
Findings
Orbit group defined via connectivity
Computed orbit groups for basic quandles
Orbit group counts the number of orbits in certain cases
Abstract
We define the notion of the orbit group of a quandle via its connectivity and compute the orbit groups for some basic quandles. We also show that the orbit group counts the number of orbits of certain quandles.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology