Constructing skew left braces whose additive group has trivial centre
Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 797-804
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A complete description of all possible multiplicative groups of finite skew left braces whose additive group has trivial centre is given. 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.
Ballester-Bolinches, Adolfo; Esteban-Romero, Ramón; Jiménez-Seral, Paz; Pérez-Calabuig, Vicent. Constructing skew left braces whose additive group has trivial centre. Canadian mathematical bulletin, Tome 68 (2025) no. 3, pp. 797-804. doi: 10.4153/S0008439525000098
@article{10_4153_S0008439525000098,
author = {Ballester-Bolinches, Adolfo and Esteban-Romero, Ram\'on and Jim\'enez-Seral, Paz and P\'erez-Calabuig, Vicent},
title = {Constructing skew left braces whose additive group has trivial centre},
journal = {Canadian mathematical bulletin},
pages = {797--804},
year = {2025},
volume = {68},
number = {3},
doi = {10.4153/S0008439525000098},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000098/}
}
TY - JOUR AU - Ballester-Bolinches, Adolfo AU - Esteban-Romero, Ramón AU - Jiménez-Seral, Paz AU - Pérez-Calabuig, Vicent TI - Constructing skew left braces whose additive group has trivial centre JO - Canadian mathematical bulletin PY - 2025 SP - 797 EP - 804 VL - 68 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000098/ DO - 10.4153/S0008439525000098 ID - 10_4153_S0008439525000098 ER -
%0 Journal Article %A Ballester-Bolinches, Adolfo %A Esteban-Romero, Ramón %A Jiménez-Seral, Paz %A Pérez-Calabuig, Vicent %T Constructing skew left braces whose additive group has trivial centre %J Canadian mathematical bulletin %D 2025 %P 797-804 %V 68 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000098/ %R 10.4153/S0008439525000098 %F 10_4153_S0008439525000098
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