Original scientific paper
Lower bounds for the number of local nearrings on groups of order $p^3$
Maryna Iuriivna Raievska
; Institute of Mathematics, University of Warsaw, Warsaw, Poland
*
Iryna Iuriivna Raievska
* Corresponding author.
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
Hrčak ID:
321246
URI
Publication date:
7.10.2024.
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