On Core Quandles

Q: What type of study is this?

This is a Quantitative Study study.

Filippo Spaggiari; Marco Bonatto

doi:10.48550/arxiv.2503.01790

March 3, 2025Open Access

On Core Quandles

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Key Points

Characterization of properties of core quandles in relation to their underlying groups is presented, enhancing understanding of quandle theory.
The analysis reveals that connected cores provide answers to previously open questions in quandle studies, contributing to the existing literature.
A standard homogeneous representation for core quandles is introduced, offering a new method for evaluating their characteristics and behavior.
The findings demonstrate that simple core quandles are identified as primitive, suggesting deeper implications for quandle structure and theory.

Implication

Analysis characterizes connected cores from group properties, highlighting simple core quandles as primitive.

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 {saito} and present a standard homogeneous representation for them, which allows us to prove that simple core quandles are primitive.

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Cite This Study

Spaggiari et al. (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d129745b https://doi.org/10.48550/arxiv.2503.01790

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On Core Quandles

Key Points

Implication

Abstract

Discussion

Cite This Study

On Core Quandles

Key Points

Implication

Abstract

Discussion

Cite This Study

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