Quandle cohomology, extensions and automorphisms

DOI10.1016/j.jalgebra.2021.06.016zbMath1476.57015arXiv2005.08564OpenAlexW3025315722MaRDI QIDQ2042942

Mahender Singh, Valeriy G. Bardakov

Publication date: 22 July 2021

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

Full work available at URL: https://arxiv.org/abs/2005.08564

zbMATH Keywords

automorphismgroup cohomologyquandle cohomologyfactor setgroup extensiondynamical cocyclequandle extensionquandle module

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Nonabelian homological algebra (category-theoretic aspects) (18G50) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (4)

Cohomology, extensions and automorphisms of skew braces ⋮ Extensions and automorphisms of Rota-Baxter groups ⋮ Extensions and Well’s type exact sequence of skew braces ⋮ Topological quandles up to four elements

Cites Work

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• Automorphism groups of Alexander quandles.
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• Automorphism groups of quandles arising from groups
• On rack cohomology.
• Trunks and classifying spaces
• An explicit description of the second cohomology group of a quandle
• Automorphism groups of quandles and related groups
• Homologies of algebraic structures via braidings and quantum shuffles
• Extensions of racks and quandles
• Yang-Baxter deformations of quandles and racks
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Quandle coloring and cocycle invariants of composite knots and abelian extensions
• Flat connected finite quandles
• A Survey of Quandle Ideas
• Algebraic properties of quandle extensions and values of cocycle knot invariants
• ON THE STRUCTURE AND AUTOMORPHISM GROUP OF FINITE ALEXANDER QUANDLES
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• RACKS AND LINKS IN CODIMENSION TWO
• Quandle cohomology and state-sum invariants of knotted curves and surfaces
• Quandles and Topological Pairs
• Quandle cohomology is a Quillen cohomology
• James bundles
• AUTOMORPHISM GROUPS OF QUANDLES
• Reflexion spaces and homogeneous symmetric spaces
• Automorphisms of Group Extensions
• Twisted quandle homology theory and cocycle knot invariants

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