Maciej Niebrzydowski , Agata Pilitowska , Anna Zamojska-Dzienio
AbstractWe characterize the para-associative ternary quasi-groups (flocks) applicable to knot theory, and show which of these structures are isomorphic. We enumerate them up to order 64. We note that the operation used in knot-theoretic flocks has its non-associative version in extra loops. We use a group action on the set of flock colorings to improve the cocycle invariant associated with the knot-theoretic flock (co)homology.
|Journal series||Journal of Knot Theory and its Ramifications, ISSN 0218-2165, e-ISSN 1793-6527, (N/A 70 pkt)|
|Keywords in English||ternary quasi-group, para-associativity, Dehn presentation, flock, cocycle invariant, group action|
|Score||= 70.0, 13-07-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 0.783; : 2018 = 0.461 (2) - 2018=0.516 (5)|
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