A note on a theorem of Megibben

Danchev, Peter Vassilev, and Keef, Patrick. "A note on a theorem of Megibben." Archivum Mathematicum 044.3 (2008): 245-249. <http://eudml.org/doc/250491>.

@article{Danchev2008,
abstract = {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.},
author = {Danchev, Peter Vassilev, Keef, Patrick},
journal = {Archivum Mathematicum},
keywords = {thick groups; pure subgroups; countable extensions; divisible groups; bounded groups; thick Abelian -groups; pure subgroups; countable extensions; divisible groups; bounded groups; totally projective subgroups},
language = {eng},
number = {3},
pages = {245-249},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A note on a theorem of Megibben},
url = {http://eudml.org/doc/250491},
volume = {044},
year = {2008},
}

TY - JOUR
AU - Danchev, Peter Vassilev
AU - Keef, Patrick
TI - A note on a theorem of Megibben
JO - Archivum Mathematicum
PY - 2008
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 044
IS - 3
SP - 245
EP - 249
AB - 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.
LA - eng
KW - thick groups; pure subgroups; countable extensions; divisible groups; bounded groups; thick Abelian -groups; pure subgroups; countable extensions; divisible groups; bounded groups; totally projective subgroups
UR - http://eudml.org/doc/250491
ER -