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Relativization of symmetries on quandles

math.GT · 2026-07-02 · unverdicted · novelty 4.0

Introduces relative inner automorphism and transvection groups for quandle homomorphisms, characterizes connected surjections as quotients, provides maximal connected-covering factorization, and classifies finite fibers under 2-transitivity.

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  • Lie Quandles, Leibniz Racks and Noether's First Theorem math.QA · 2026-04-18 · unverdicted · none · ref 2

    Lie quandles generalize Lie algebras nonlinearly; the work classifies related structures and advances a nonlinear analogue of Noether's first theorem.

  • Relativization of symmetries on quandles math.GT · 2026-07-02 · unverdicted · none · ref 2

    Introduces relative inner automorphism and transvection groups for quandle homomorphisms, characterizes connected surjections as quotients, provides maximal connected-covering factorization, and classifies finite fibers under 2-transitivity.