Lower bounds for the number of local nearrings on groups of order $p^3$
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
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)