Address:
Department of Mathematics, 127 SOU “I. N. Denkoglu” 43 Parchevich Street, Sofia 1000, Bulgaria
Department of Mathematics, Whitman College 63 Wolf Fock Place, Walla Walla, WA 99362, USA
E-mail:
pvdanchev@yahoo.com
keef@whitman.edu
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.
AMSclassification: primary 20K10.
Keywords: thick groups, pure subgroups, countable extensions, divisible groups, bounded groups.