Mathematics > Group Theory
arXiv:2602.09320 (math)
[Submitted on 10 Feb 2026 (v1), last revised 3 Jun 2026 (this version, v3)]
Abstract:A skew brace $A = (A,\cdot,\circ)$ is said to be \textit{left-simple} if $A\neq1$ and it has no left ideal other than $1$ and $A$. The purpose of this paper is to give a partial classification of the finite left-simple skew braces. A result of Stefanello and Trappeniers implies that finite left-simple skew braces correspond precisely to minimal Hopf--Galois structures on finite Galois extensions of fields.
Submission history
From: Cindy (Sin Yi) Tsang [view email]
[v1]
Tue, 10 Feb 2026 01:28:09 UTC (11 KB)
[v2]
Thu, 28 May 2026 12:35:20 UTC (13 KB)
[v3]
Wed, 3 Jun 2026 12:04:28 UTC (53 KB)
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