On fully inert subgroups of completely decomposable groups

DOI10.1134/S0001434617010394zbMath1387.20045OpenAlexW2594545797MaRDI QIDQ2396429

Andrey R. Chekhlov

Publication date: 8 June 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617010394

zbMATH Keywords

commensurable subgroupsfully invariant subgroupcompletely decomposable groupindex of a subgroupfully inert subgroup

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Related Items

On the socles of characteristically inert subgroups of abelian \(p\)-groups ⋮ ON PROJECTIVELY INERT SUBGROUPS OF COMPLETELY DECOMPOSABLE FINITE RANK GROUPS ⋮ Abelian \(p\)-groups with minimal full inertia ⋮ Weakly fully and characteristically inert socle-regular Abelian p-groups ⋮ On strongly invariant subgroups of abelian groups ⋮ Fully inert subgroups of completely decomposable groups with homogeneous components of finite rank ⋮ Intermediately fully invariant subgroups of abelian groups ⋮ On the socles of fully inert subgroups of abelian \(p\)-groups ⋮ Inertial properties in groups ⋮ On uniformly fully inert subgroups of abelian groups

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