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arXiv · 2112.15041

Right Nilpotency of Braces of Cardinality $p^4$

Dora Puljić
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Abstract

We determine right nilpotency of braces of cardinality $p^4$. If a brace of cardinality $p^4$ has an abelian multiplicative group, then it is left and right nilpotent, so we only consider braces with non-abelian multiplicative groups. We show right nilpotency in all cases using the sufficient condition of $A\ast c=0$ for some central element $c$ of a brace $A$.

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BibTeXRIS

Dora Puljić. 2022-05-24. Right Nilpotency of Braces of Cardinality $p^4$. https://arxiv.org/abs/2112.15041

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