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

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.

arXiv admin note: text overlap with arXiv:2205.08359