Properties of groups inherited by normal subgroups

DOI10.1007/BF01056641zbMath0648.20044OpenAlexW2015085559MaRDI QIDQ1105039

D. I. Zajtsev

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01056641

zbMATH Keywords

complemented normal subgrouphypercentral automorphism groupminimal condition on H-invariant subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (3)

Groups with subnormality for all subgroups that are not finitely generated ⋮ Anti-CC-groups and anti-PC-groups. ⋮ Groups with the weak minimal condition for non-subnormal subgroups

Cites Work

• Unnamed Item
• Finite groups of automorphisms of locally soluble groups
• Splitting over nilpotent and hypercentral residuals
• Injective modules and soluble groups satisfying the minimal condition for normal subgroups

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