Geodesic
Sur les Sous-Groupes Purifiables des Groupes Abéliens Primaires
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 11-17

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The class of primary abelian groups whose subsocles are purifiable is not yet completely characterized and it contains the class of direct sums of cyclic groups and torsion complete groups. In sharp constrast with this, the class of groups whose p 2-bounded subgroups are purifiable consist only of those groups which are the direct sum of a bounded and a divisible group. Various tools are developed and a short application to the pure envelopes of cyclic subgroups is given in the last section.
DOI : 10.4153/CMB-1990-002-3
Mots-clés : 20K10 
Benabdallah, K.; Piché, C. Sur les Sous-Groupes Purifiables des Groupes Abéliens Primaires. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 11-17. doi: 10.4153/CMB-1990-002-3
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