PreprintCC BY 4.0arXiv
Magma Automorphisms and Quasi-Linear Cycle Sets
Abstract
Rump asked in 2016 whether every finite quasi-linear cycle set is retractible. This was recently proved by Dietzel. In this paper, we reinterpret Rump's question in terms of automorphisms of certain pointed magmas, and propose a more general conjecture on the automorphisms of these magmas. We provide some theoretical and computational evidence in support of our conjecture.
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BibTeX
@misc{byott2026magma,
title = {{Magma Automorphisms and Quasi-Linear Cycle Sets}},
author = {Nigel P. Byott and Edgar Jasko},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.20028},
eprint = {2609.20028},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20028},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Magma Automorphisms and Quasi-Linear Cycle Sets
AU - Nigel P. Byott
AU - Edgar Jasko
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2609.20028
UR - https://arxiv.org/abs/2609.20028
AB - Rump asked in 2016 whether every finite quasi-linear cycle set is retractible. This was recently proved by Dietzel. In this paper, we reinterpret Rump's question in terms of automorphisms of certain pointed magmas, and propose a more general conjecture on the automorphisms of these magmas. We provide some theoretical and computational evidence in support of our conjecture.
ER -