Groups of the nilpotency class $2$ of order $p^4$ as additive groups of local nearrings

Iryna Raievska; Maryna Raievska

doi:10.12958/adm2269

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arXiv · 2303.17567

Groups of the nilpotency class $2$ 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 $2$ of order $p^4$ which are the additive groups of local nearrings. It was shown that, for odd p, out of 6 of such groups 4 of them are the additive groups of local nearrings. Some examples of such nearrings are explicitly constructed.

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Iryna Raievska, Maryna Raievska. 2023-03-30. Groups of the nilpotency class $2$ of order $p^4$ as additive groups of local nearrings. https://doi.org/10.12958/adm2269

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