On commutator socle-regular Abelian \(p\)-groups.

DOI10.1515/JGT-2014-0003zbMath1305.20062OpenAlexW2005789127MaRDI QIDQ741274

Brendan Goldsmith, Peter V. Danchev

Publication date: 11 September 2014

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt-2014-0003

zbMATH Keywords

endomorphismssoclesAbelian \(p\)-groupsadditive commutatorsfully invariant subgroupsidempotent endomorphismscommutator invariant subgroupscommutator socle-regular Abelian groupsprojection invariant subgroups

Mathematics Subject Classification ID

Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items (5)

On commutator socle-regular \textit{QTAG}-modules ⋮ R-Hopfian and L-co-Hopfian Abelian Groups (with an Appendix by A.L.S. Corner on Near Automorphisms of an Abelian Group) ⋮ On projectively Krylov transitive and projectively weakly transitive abelian \(p\)-groups ⋮ On commutator Krylov transitive and commutator weakly transitive abelian \(p\)-groups ⋮ On the socles of fully inert subgroups of abelian \(p\)-groups

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