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On Core Quandles

2025/03/03 by Filippo Spaggiari, Spaggiari, Filippo, Marco Bonatto +1 · 1 citation
Mathematics · #57K12 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2503.01790

openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

Abstract

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 in \citesaito and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.

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