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From the 1 of 6 linked papers with an AI index.

most citedSkew braces with no proper left ideals

1 citations · 1 across the 2 of their papers we have counts for

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6 papers

math.GR2026

On the triviality and non-triviality of the automorphism group of a skew brace

Cindy Tsang

The paper investigates when skew braces have only the identity automorphism, proving that for certain families this occurs only for trivial sizes, and constructs a skew brace of or…

math.GR2026

Finite almost simple groups whose holomorph contains a solvable regular subgroup

Cindy Tsang

In our previous paper, we gave a complete list of the finite non-abelian simple groups whose holomorph contains a solvable regular subgroup. In this paper, we refine our previous w…

math.GR20261 cited

Skew braces with no proper left ideals

Cindy Tsang

A skew brace is said to be \textit{left-simple} if and it has no left ideal other than and . The purpose of this paper is to give a partial cl…

math.GR2026

On -isoclinism of skew braces

Risa Arai, Cindy Tsang

The purpose of this paper is to explore possible definitions of -isoclinism for skew braces. We also introduce the notions of verbal sub-skew braces and marginal left ideals.

math.GR2025

Analogs of the lower and upper central series in skew braces: a survey

Cindy Tsang

A skew brace is a ring-like and group-like algebraic structure that was introduced in the study of set-theoretic solutions to the Yang-Baxter equation. In this survey paper, we sha…

math.GR2025

On Grün's lemma for perfect skew braces

Cindy Tsang

By previous work of Cedó, Smoktunowicz, and Vendramin, one already knows that the analog of Grün's lemma fails to hold for perfect skew left braces when the socle is used as an a…