Document Type
Article
Publication Date
2021
Abstract
We introduce the notion of an orbit series in a quandle. Using this notion we define four families of quandles based on finiteness conditions on their orbit series. Intuitively, the classes tOS and tOSn correspond to finitary compositions of trivial quandles while the classes OS and OSn correspond to finitary compositions of connected quandles. We study properties of these four families of quandles and explore their relationships with several previously studied families of quandles: reductive, n-reductive, locally reductive, n-locally reductive, and solvable quandles
Original Publication Citation
Bonatto, M., et al. “Quandles with Orbit Series Conditions.” Journal of Algebra, vol. 567, Feb. 2021, pp. 284–309.
Digital Commons @ LMU & LLS Citation
Crans, Alissa, "Quandles with orbit series conditions" (2021). Mathematics, Statistics and Data Science Faculty Works. 177.
https://digitalcommons.lmu.edu/math_fac/177
