This article is cited in 2 papers

Quasi-complete Q-groups are bounded

P. V. Danchev

Plovdiv State University «Paissii Hilendarski», Plovdiv, Bulgaria

Abstract: 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.

Key words: torsion-complete groups, quasi-complete groups, Q-groups, thin groups, bounded groups.

UDC: 512.742

MSC: 20K10

Received: 29.05.2007

Language: English

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