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<p>We characterize several properties of core quandles in terms of the properties of their underlying groups. Specifically, we characterize connected cores providing an answer to an open question and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.</p>

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On core quandles

  • 期刊论文

  • 发表日期：

    2025年8月30日

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  • Filippo Spaggiari,
  • Marco Bonatto

摘要

We characterize several properties of core quandles in terms of the properties of their underlying groups. Specifically, we characterize connected cores providing an answer to an open question and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.