Lower bounds for the number of local nearrings on groups of order $p^3$

Maryna Iuriivna Raievska, Iryna Iuriivna Raievska

Abstract


Lower bounds for the number of local nearrings on groups of order $p^3$ are obtained. On each non-metacyclic non-abelian or metacyclic abelian groups of order $p^3$ there exist at least $p+1$ non-isomorphic local nearrings.

Keywords


Local nearring, $p$-group, metacyclic group, non-metacyclic group

Full Text:

PDF


ISSN: 1331-0623 (Print), 1848-8013 (Online)