Name: On the product of finitely generated Abelian groups
Creator: N. F. Sesekin
Keywords: 2. Zero hunger, Structure and classification of infinite or finite groups, Products of subgroups of abstract finite groups, 0101 mathematics, 01 natural sciences, Special aspects of infinite or finite groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1973 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes of the Academy of Sciences of the USSR, volume 13, pages 266-268 (issn: 0001-4346, eissn: 1573-8876,

Authors: N. F. Sesekin;

doi: 10.1007/bf01155670

On the product of finitely generated Abelian groups

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Abstract

It is shown that if a group G is a product of Abelian subgroups A and B one of which is finitely generated, then the group G will have a nontrivial normal subgroup that is contained either in A, or in B.

Related Organizations

Ural State Agrarian University
Russian Federation
Ural State Law University
Russian Federation

Keywords

Structure and classification of infinite or finite groups, Products of subgroups of abstract finite groups, Special aspects of infinite or finite groups

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