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.
@article{119764,
author = {Peter Vassilev Danchev and Patrick Keef},
title = {A note on a theorem of Megibben},
journal = {Archivum Mathematicum},
volume = {044},
year = {2008},
pages = {245-249},
zbl = {1204.20070},
mrnumber = {2462980},
language = {en},
url = {http://dml.mathdoc.fr/item/119764}
}
Danchev, Peter Vassilev; Keef, Patrick. A note on a theorem of Megibben. Archivum Mathematicum, Tome 044 (2008) pp. 245-249. http://gdmltest.u-ga.fr/item/119764/
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