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Vladikavkazskii Matematicheskii Zhurnal, 2008, Volume 10, Number 1, Pages 24–26 (Mi vmj51)  
This article is cited in 2 scientific papers (total in 2 papers)

Quasi-complete Q-groups are bounded

P. V. Danchev

Plovdiv State University «Paissii Hilendarski», Plovdiv, Bulgaria
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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.
Received: 29.05.2007
Bibliographic databases:
Document Type: Article
UDC: 512.742
MSC: 20K10
Language: English
Citation: P. V. Danchev, “Quasi-complete Q-groups are bounded”, Vladikavkaz. Mat. Zh., 10:1 (2008), 24–26
Citation in format AMSBIB
\Bibitem{Dan08}
\by P.~V.~Danchev
\paper Quasi-complete Q-groups are bounded
\jour Vladikavkaz. Mat. Zh.
\yr 2008
\vol 10
\issue 1
\pages 24--26
\mathnet{http://mi.mathnet.ru/vmj51}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2434649}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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