Infinite groups with many complemented subgroups

DOI10.1007/S13366-021-00597-WOpenAlexW3207947218MaRDI QIDQ2094268

Maria Ferrara, Marco Trombetti

Publication date: 28 October 2022

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-021-00597-w

zbMATH Keywords

subgroup latticecomplemented subgroup\({\text{C}} \)-group\({\text{K}} \)-group

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (5)

A lattice-theoretic characterization of pure subgroups of abelian groups ⋮ Groups with iterated restrictions on conjugacy classes ⋮ Large norms in group theory ⋮ Infinite locally finite simple groups with many complemented subgroups ⋮ Paranilpotency in uncountable groups

Cites Work

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• Groups with some families of complemented subgroups
• Finite groups of automorphisms of locally soluble groups
• Subgroup lattices of groups
• Irreducible groups of automorphisms of abelian groups
• Complementation in groups
• Sugli IK-gruppi risolubili
• Abelian groups without elements of finite order
• A Countable-Type Theorem for Uncountable Groups
• Sui gruppi risolubili complementati
• A lattice-theoretic characterization of pure subgroups of abelian groups

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