Knot-theoretic flocks

Maciej Niebrzydowski , Agata Pilitowska , Anna Zamojska-Dzienio


We 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.
Publication typeIn press (online first, early view)
Author Maciej Niebrzydowski (FMPI/IM)
Maciej Niebrzydowski,,
- Institute of Mathematics
, Agata Pilitowska
Agata Pilitowska,,
, Anna Zamojska-Dzienio
Anna Zamojska-Dzienio,,
Journal seriesJournal of Knot Theory and its Ramifications, ISSN 0218-2165, e-ISSN 1793-6527, (N/A 70 pkt)
Issue year2020
Article number2050026
Keywords in Englishternary quasi-group, para-associativity, Dehn presentation, flock, cocycle invariant, group action
ASJC Classification2602 Algebra and Number Theory
Languageen angielski
Score (nominal)70
Score sourcejournalList
ScoreMinisterial score = 70.0, 13-07-2020, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.783; WoS Impact Factor: 2018 = 0.461 (2) - 2018=0.516 (5)
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