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May 23, 20241 citationsOpen Access

Constructing skew left braces whose additive group has trivial centre

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ABA. Ballester‐BolinchesRER. Esteban‐RomeroPJPaz Jiménez–Seral

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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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Cite This Study

Ballester‐Bolinches et al. (2024) studied this question.

synapsesocial.com/papers/68e68cfdb6db643587614d84https://doi.org/10.4153/s0008439525000098
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Categories of Skew Left Braces and Trifactorised Groups2026 · 1 citations
  2. 2Free commutative skew braces2025
  3. 3On the triviality and non-triviality of the automorphism group of a skew brace2026
  4. 4Representation theory of skew braces2024
  5. 5On a family of simple skew braces2024