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 Fundam. Prikl. Mat.: Year: Volume: Issue: Page: Find

 Fundam. Prikl. Mat., 2008, Volume 14, Issue 5, Pages 55–65 (Mi fpm1139)

Abelian groups that are small with respect to different classes of groups

S. Ya. Grinshpona, I. V. Gerdtb

a Tomsk State University
b Tomsk University of Control Systems and Radioelectronics

Abstract: In this paper, we study Abelian groups that are small with respect to different classes of groups. Completely decomposable torsion free groups that are small with respect to an arbitrary class of torsion free groups are described completely. Direct products of groups small with respect to the class of slender groups are derived.

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English version:
Journal of Mathematical Sciences (New York), 2009, 163:6, 662–669

Bibliographic databases:

UDC: 512.541

Citation: S. Ya. Grinshpon, I. V. Gerdt, “Abelian groups that are small with respect to different classes of groups”, Fundam. Prikl. Mat., 14:5 (2008), 55–65; J. Math. Sci., 163:6 (2009), 662–669

Citation in format AMSBIB
\Bibitem{GriGer08} \by S.~Ya.~Grinshpon, I.~V.~Gerdt \paper Abelian groups that are small with respect to different classes of groups \jour Fundam. Prikl. Mat. \yr 2008 \vol 14 \issue 5 \pages 55--65 \mathnet{http://mi.mathnet.ru/fpm1139} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2533576} \transl \jour J. Math. Sci. \yr 2009 \vol 163 \issue 6 \pages 662--669 \crossref{https://doi.org/10.1007/s10958-009-9701-y} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-73249119923}