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math.GR2024
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…
math.RT2024
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…