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

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.

arXiv admin note: substantial text overlap with arXiv:2303.17567