On the socles of fully inert subgroups of abelian \(p\)-groups

DOI10.1007/S00009-021-01747-ZzbMath1496.20085OpenAlexW3158773068MaRDI QIDQ2029719

Brendan Goldsmith, Peter V. Danchev, Andrey R. Chekhlov

Publication date: 4 June 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01747-z

zbMATH Keywords

fully inert subgroupssocle-regular groupsfully inert socle-regular groupsweakly fully inert socle-regular groups

Mathematics Subject Classification ID

Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27)

Related Items (6)

On the socles of characteristically inert subgroups of abelian \(p\)-groups ⋮ Abelian \(p\)-groups with minimal full inertia ⋮ Weakly fully and characteristically inert socle-regular Abelian p-groups ⋮ Fully inert subgroups of completely decomposable groups with homogeneous components of finite rank ⋮ On the socles of strongly inert subgroups of abelian \(p \)-groups ⋮ Countably totally projective abelian \(p\)-groups have minimal full inertia

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• On fully inert subgroups of completely decomposable groups
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS, II
• Essentially-Rigid Families of Abelian p -Groups
• Abelian Groups

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