Quasi-complete Q-groups are bounded

Danchev P. V.
Владикавказский математический журнал. . Том 10. 2008 г.. Выпуск 1.

Аннотация:
We prove that any \(p\)-torsion quasi-complete abelian Q-group is bounded. This extends a recent statement of ours in [6, Corollary 8] to an arbitrary large cardinality, thus also answering in the negative a conjecture from [6]. Some other related assertions are established as well.

Ключевые слова: torsion-complete groups, quasi-complete groups, Q-groups, thin groups, bounded groups.

Язык статьи: Английский Загрузить полный текст