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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 505–509 (Mi smj1085)  
This article is cited in 7 scientific papers (total in 7 papers)

On D. I. Moldavanskii's question about $p$-separable subgroups of a free group

V. G. Bardakov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (156 kB) Citations (7)
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Abstract: We prove that every free nonabelian group has a finitely generated isolated subgroup not separable in the class of nilpotent groups. This enables us to give a negative answer to the following question by D. I. Moldavanskii in the “Kourovka Notebook”: Is it true that every finitely generated $p'$-isolated subgroup of a free group is separable in the class of finite $p$-groups?
Keywords: free group, nilpotent group, $p$-group, isolated subgroup, separable subgroup.
Received: 12.01.2004
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 416–419
DOI: https://doi.org/10.1023/B:SIMJ.0000028606.51473.f7
Bibliographic databases:
UDC: 512.543
Language: Russian
Citation: V. G. Bardakov, “On D. I. Moldavanskii's question about $p$-separable subgroups of a free group”, Sibirsk. Mat. Zh., 45:3 (2004), 505–509; Siberian Math. J., 45:3 (2004), 416–419
Citation in format AMSBIB
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\paper On D.\,I.~Moldavanskii's question about $p$-separable subgroups of a~free group
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\vol 45
\issue 3
\pages 505--509
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 3
\pages 416--419
\crossref{https://doi.org/10.1023/B:SIMJ.0000028606.51473.f7}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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