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arXiv · 2403.14975

Classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$

Snehashis Mukherjee
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Abstract

In this article the right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$ has been classified. We use the connection between nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$ and nilpotent pre-Lie algebras of the same order, building on the known relationship between pre-Lie algebras and braces. Leveraging insights from the classification of nilpotent pre-Lie algebras over $\mathbb{F}_p$, we aim to provide a comprehensive classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$.

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BibTeXRIS

Snehashis Mukherjee. 2024-03-22. Classification of right nilpotent $\mathbb{F}_p$-braces of cardinality $p^5$. https://arxiv.org/abs/2403.14975

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