%0 Journal Article
%T On varietal capability of Infinite direct products of groups
%A Hanieh Mirebrahimi
%A Behrooz Mashayekhy
%J International Journal of Group Theory
%D 2012
%I University of Isfahan
%X Recently, the authors gave some conditions under which a direct product of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any infi nite direct product of groups. Moreover, we conclude some results for V-capability of direct products of infi nitely many groups in varieties of abelian, nilpotent and polynilpotent group.
%K Capable group
%K Direct product
%K Variety of groups
%K V capable group
%K direct limit
%U http://www.theoryofgroups.ir/?_action=showPDF&article=850&_ob=c7158d00eaa639c32430a262f09c81fa&fileName=full_text.pdf