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arXiv · 2403.07545

Artin-Schreier quandles of involutions in absolute Galois groups

Markus Szymik
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Abstract

We introduce a new invariant of fields that refines their real spectrum and is related to their absolute Galois group: the Artin-Schreier quandle. For formally real number fields, it is freely generated in its variety by a Cantor space of indeterminates. For Laurent series fields, we compute it in terms of the Artin-Schreier quandle of the coefficient field. This result and other examples show that, in general, there are relations.

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BibTeXRIS

Markus Szymik. 2024-03-12. Artin-Schreier quandles of involutions in absolute Galois groups. https://doi.org/10.1007/s12188-026-00297-z

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