On torsion in homology of finite connected quandles

DOI10.1142/S0218216521410170zbMath1489.55004OpenAlexW4221099251MaRDI QIDQ5071797

Seung Yeop Yang

Publication date: 22 April 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216521410170

zbMATH Keywords

torsion subgroupconnected quandlerack and quandle homologyquandle inner automorphism group

Mathematics Subject Classification ID

Other homology theories in algebraic topology (55N35) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

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Uses Software

• RiG
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Cites Work

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• Homology operations on homology of quandles
• Homology of dihedral quandles
• A classifying invariant of knots, the knot quandle
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• Some calculations of cohomology groups of finite Alexander quandles
• Surfaces in 4-space
• Trunks and classifying spaces
• The torsion of a finite quasigroup quandle is annihilated by its order
• Annihilation of torsion in homology of finite m-AQ quandles
• On quandle homology groups of Alexander quandles of prime order
• Extended quandle spaces and shadow homotopy invariants of classical links
• THE ALGEBRA OF RACK AND QUANDLE COHOMOLOGY
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Quandle homology groups, their Betti numbers, and virtual knots

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