%0 Journal Article
%T On Normal Subgroups of Product of Groups
%A Ashish Kumar Das
%J Mathematics
%D 2005
%I arXiv
%X The object of this paper is to find a necessary and sufficient condition for the groups $G_1, G_2, ..., G_n$ so that every normal subgroup of the product $\prod_{i=1}^{n} G_i$ is of the type $\prod_{i=1}^{n} N_i$ with $N_i \trianglelefteq G_i$, $i=1,2, ..., n$. As a consequence we obtain a well-known result due to R. Remak about centreless completely reducible groups having finitely many direct factors.
%U http://arxiv.org/abs/math/0504097v3