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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… Click to show full 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 $$\mathcal {L}(H)$$ embeds in $$\mathcal {L}(G)$$ . It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity.
Keywords:
subgroups abelian;
characterization pure;
lattice theoretic;
theoretic characterization;
pure subgroups;
pure
Journal Title: Ricerche Di Matematica
Year Published: 2021
Link to full text (if available)
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Journal Title: Ricerche Di Matematica
Year Published: 2021
Link to full text (if available)
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recommendations!