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The origins of involutory quandles

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arxiv 1506.02389 v1 pith:XBSVLY7Y submitted 2015-06-08 math.GR math.GT

classification math.GRmath.GT
keywords involutoryquandleswhatarticlebeforebornexplainingexpository
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We present an overview of some older papers on involutory quandles, mostly from the times before the term "quandle" was born. It is meant as a reference guide, not (yet) as an expository article explaining what the involutory quandles are and what they are good for.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On medial Latin quandles and affine modules

    math.GR 2026-02 accept novelty 6.0 of 10

    As categories, Latin medial quandles are equivalent to affine modules over Z[t^{±1},(1−t)^{−1}], and medial commutative quandles to affine modules over Z[1/2].

  2. Associated groups of symmetric quandles

    math.GT 2025-05 accept novelty 6.0 of 10

    Symmetric quandle associated groups are characterized: the underlying quandle's group is a central extension of the symmetric one with a free abelian kernel, and embeddability is equivalent.

  3. The kei word metric on the transvection group and its unit ball

    math.SG 2026-05 unverdicted novelty 5.0 of 10

    Defines a kei-based bi-invariant word metric on the transvection group and analyzes its triviality in examples from group theory, dynamics, and symplectic geometry.

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