On structure analysis of finitely generated abelian groups
Shenzhen Tech. University., China.
Review Article
World Journal of Advanced Research and Reviews, 2022, 16(01), 923–927
Article DOI: 10.30574/wjarr.2022.16.1.1194
Publication history:
Received on 23 September 2022; revised on 25 October 2022; accepted on 28 October 2022
Abstract:
In this paper we give an overview of the structural analysis of finitely generated abelian groups and modules. We give an overview of recent results on the structure theory of these objects in various situations, in particular in the case of torsionfree groups of infinite rank. We also mention several open problems. We also propose a method to study the structure of finitely generated abelian groups and finitely generated nilpotent groups by using some invariants of their derived series. This method provides a new framework for studying the structure of finitely generated abelian groups and finitely generated nilpotent groups.
Keywords:
Groups; Modules; Structure; Finitely generated
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