Groups of the nilpotency class $3$ of order $p^4$ as additive groups of local nearrings

Iryna Raievska; Maryna Raievska

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arXiv · 2309.14342

Groups of the nilpotency class $3$ of order $p^4$ as additive groups of local nearrings

Iryna Raievska·Maryna Raievska

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Abstract

We consider groups of the nilpotency class $3$ of order $p^4$ which are the additive groups of local nearrings. It was shown that, for $p>3$, there exist a local nearring on one of such 4 groups.

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Iryna Raievska, Maryna Raievska. 2023-09-22. Groups of the nilpotency class $3$ of order $p^4$ as additive groups of local nearrings. https://arxiv.org/abs/2309.14342

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