On the lattice of subquandles of a Takasaki quandle

DOI10.1080/00927872.2020.1797065OpenAlexW3045680618MaRDI QIDQ3386830

Dariush Kiani, A. Saki

Publication date: 7 January 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2020.1797065

zbMATH Keywords

quandlerackdihedral quandlelattice of subrackslattice of subquandles

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Sets with a single binary operation (groupoids) (20N02) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Connected quandles and transitive groups
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• The lattice of subracks is atomic
• Automorphism groups of quandles arising from groups
• The coset poset and probabilistic zeta function of a finite group
• On quandle homology groups of Alexander quandles of prime order
• Homotopy Groups of Joins and Unions
• On the lattice of subracks of the rack of a finite group
• On the rack homology of graphic quandles

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