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arXiv · 2609.20028

Magma Automorphisms and Quasi-Linear Cycle Sets

Nigel P. Byott·Edgar Jasko
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Abstract

Rump asked in 2016 whether every finite quasi-linear cycle set is retractible. We reinterpret this question in terms of automorphisms of certain pointed magmas, and propose a conjecture on the automorphisms of these magmas which would imply an affirmative answer to Rump's question. We provide some theoretical and computational evidence in support of our conjecture.

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BibTeXRIS

Nigel P. Byott, Edgar Jasko. 2026-09-17. Magma Automorphisms and Quasi-Linear Cycle Sets. https://arxiv.org/abs/2609.20028

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