Isotropy groups of free racks and quandles

DOI10.1142/S0219498822501638MaRDI QIDQ5100113

Jason Parker

Publication date: 29 August 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09837

zbMATH Keywords

isotropyracksquandles

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Automorphisms and endomorphisms of algebraic structures (08A35) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Related Items (1)

Inner automorphisms of presheaves of groups

Cites Work

• An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange.
• A classifying invariant of knots, the knot quandle
• Isotropy of algebraic theories
• The Word Problem for Finitely Presented Quandles is Undecidable
• Embeddings of quandles into groups
• Permutations, power operations, and the center of the category of racks
• Some aspects of the SD-world

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