On Normal Subgroups of Product of Groups

dc.creatorDas, Ashish Kumar
dc.date2005-04-06
dc.date2005-09-01
dc.date.accessioned2026-07-07T05:18:50Z
dc.date.available2026-07-07T05:18:50Z
dc.descriptionThe 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.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0504097
dc.identifierhttp://arxiv.org/abs/math/0504097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74803
dc.subjectGroup Theory
dc.subject20D06, 20D40
dc.titleOn Normal Subgroups of Product of Groups
dc.typetext

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