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arXiv · 2106.13735

Some Braces of Cardinality $p^{4}$ and Related Hopf-Galois Extensions

D. Puljić·A. Smoktunowicz·K. Nejabati Zenouz
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Abstract

We describe all $\mathbb F_{p}$-braces of cardinality $p^{4}$ which are not right nilpotent. Our solution illustrates a general way of investigating $\mathbb F_{p}$-braces of cardinality $p^{n}$ with a given multiplicative group. The constructed braces are left nilpotent, solvable and prime, and they also contain a non-zero strongly nilpotent ideal.

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D. Puljić, A. Smoktunowicz, K. Nejabati Zenouz. 2021-06-25. Some Braces of Cardinality $p^{4}$ and Related Hopf-Galois Extensions. https://arxiv.org/abs/2106.13735

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