Geodesic
A note on a theorem of Megibben
Archivum mathematicum, Tome 44 (2008) no. 3, pp. 245-249

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove that pure subgroups of thick Abelian $p$-groups which are modulo countable are again thick. This generalizes a result due to Megibben (Michigan Math. J. 1966). Some related results are also established.
Classification : 20K10, 20K27
Keywords: thick groups; pure subgroups; countable extensions; divisible groups; bounded groups 
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     author = {Danchev, Peter and Keef, Patrick},
     title = {A note on a theorem of {Megibben}},
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     zbl = {1204.20070},
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Danchev, Peter; Keef, Patrick. A note on a theorem of Megibben. Archivum mathematicum, Tome 44 (2008) no. 3, pp. 245-249. http://geodesic.mathdoc.fr/item/ARM_2008__44_3_a8/