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arXiv · 2405.14699

Constructing skew left braces whose additive group has trivial centre

A. Ballester-Bolinches·R. Esteban-Romero·P. Jiménez-Seral·V. Pérez-Calabuig
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Abstract

A complete description of all possible multiplicative groups of finite skew left braces whose additive group has trivial centre is shown. As a consequence, some earlier results of Tsang can be improved and an answer to an open question set by Tsang at Ischia Group Theory 2024 Conference is provided.

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A. Ballester-Bolinches, R. Esteban-Romero, P. Jiménez-Seral, V. Pérez-Calabuig. 2024-05-23. Constructing skew left braces whose additive group has trivial centre. https://doi.org/10.4153/s0008439525000098

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