Corpus ID: 216056484

Quandles with orbit series conditions

@article{Bonatto2020QuandlesWO,
  title={Quandles with orbit series conditions},
  author={M. Bonatto and Alissa S. Crans and T. Nasybullov and G. Whitney},
  journal={arXiv: Group Theory},
  year={2020}
}
  • M. Bonatto, Alissa S. Crans, +1 author G. Whitney
  • Published 2020
  • Mathematics
  • arXiv: Group Theory
  • 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… CONTINUE READING

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