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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.14342
- arXiv:
- arXiv:2309.14342
- Bibcode:
- 2023arXiv230914342R
- Keywords:
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- Mathematics - Group Theory;
- Mathematics - Rings and Algebras;
- 16Y30;
- 20D15
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:2303.17567