Let G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice L(H) embeds in L(G). It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity.
A lattice-theoretic characterization of pure subgroups of Abelian groups / Ferrara, M.; Trombetti, M.. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - (2023). [10.1007/s11587-021-00580-6]
A lattice-theoretic characterization of pure subgroups of Abelian groups
Trombetti M.
2023
Abstract
Let G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice L(H) embeds in L(G). It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity.File in questo prodotto:
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