1 citations · 2 across the 6 of their papers we have counts for
9 papers
Skew braces whose left series is not generated by right-normed star products
Cindy Tsang
We construct explicit examples of skew braces for which the third term in the left series is not generated by the right-normed star products of length …
On the triviality and non-triviality of the automorphism group of a skew brace
Cindy Tsang
It is a simple fact that a group has a trivial automorphism group if and only if it is of order or . We prove that the same holds for certain families of skew braces, and gi…
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…
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.
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…
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 ana…
Representation theory of skew braces
Yuta Kozakai, Cindy Tsang
According to Letourmy and Vendramin, a representation of a skew brace is a pair of representations on the same vector space, one for the additive group and the other for the multip…
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…
Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension
Cindy Tsang
We determine the finite non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. In the language of skew braces, our result gives a com…