Extending automorphisms and lifting decompositions in abelian groups

DOI10.1007/BF01418771zbMath0183.03202MaRDI QIDQ2535400

Paul Hill, Charles Megibben

Publication date: 1968

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161658

zbMATH Keywords

extension of automorphismslifting of decompositionsabelian group theory

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items

On the classification of abelian groups. ⋮ Extending automorphisms on primary groups ⋮ On projectively fully transitive Abelian \(p\)-groups. ⋮ New aspects for two classical theorems on torsion splitting* ⋮ The development of the theory of \(p\)-groups. ⋮ Endomorphism Rings Generated by Units ⋮ A Solution to the Splitting Mixed Group Problem of Baer ⋮ On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups ⋮ MODULAR ABELIAN GROUP ALGEBRAS ⋮ Abelian groups ⋮ On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups ⋮ Groups of cohomological dimension one ⋮ On primary groups with uncountably many elements of infinite height

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• Direct sums of countable groups