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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2007, Volume 4, Pages 52–63 (Mi semr144)  
Research papers

On existence of the universal rational structures for groups

O. V. Grigorenko, V. A. Roman'kova

a Omsk State University
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Abstract: It is proved that every group containing the free abelian subgroup of rank $2$ does not admit an universal rational structure. The negative answer to the question by Gersten and Short on the existence for the free abelian of rank $2$ group of such rational structure $L$ for which every subgroup is $L$-rational is derived.
Received June 7, 2006, published March 6, 2007
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 13A99
Language: Russian
Citation: O. V. Grigorenko, V. A. Roman'kov, “On existence of the universal rational structures for groups”, Sib. Èlektron. Mat. Izv., 4 (2007), 52–63
Citation in format AMSBIB
\Bibitem{GriRom07}
\by O.~V.~Grigorenko, V.~A.~Roman'kov
\paper On existence of the universal rational structures for groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 52--63
\mathnet{http://mi.mathnet.ru/semr144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2465414}
\zmath{https://zbmath.org/?q=an:1134.20051}
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