Lower bounds for the number of local nearrings on groups of order \(p^3\). (English) Zbl 07929232
Summary: 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.
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