Extensions of Abelian Groups

Adolf Mader
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Adolf Mader: University of Hawaii

Chapter [15] in Études sur les Groupes abéliens / Studies on Abelian Groups, 1968, pp 259-266 from Springer

Abstract: Abstract The object of extension, theory is to give a survey of the possible abstractly different extensions of a group T by a group K. Our solution consists in exhibiting a representative family of extensions of T by K supplemented by a criterion for the isomorphy of groups of this family. We consider arbitrary reduced groups T and arbitrary groups K. The solution is complete in the central case when T is a reduced torsion group and K is torsion-free. For such T and K the results are the following.

Keywords: Abelian Group; Short Exact Sequence; Endomorphism Ring; Unique Extension; Torsion Group (search for similar items in EconPapers)
Date: 1968
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-46146-0_15

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DOI: 10.1007/978-3-642-46146-0_15

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