Groups with modular lattice of subgroups

DOI10.1007/BF01197487zbMath1027.20501MaRDI QIDQ1811817

Roland Schmidt

Publication date: 6 January 2004

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

periodic groupslocally finite groupsTarski monstersmodular subgroup latticesextended Tarski groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (10)

Groups with all subgroups either modular or soluble of finite rank ⋮ Groups in which every subgroup is modular-by-finite ⋮ Large characteristic subgroups with modular subgroup lattice ⋮ Groups satisfying weak chain conditions on non-modular subgroups ⋮ A note on groups with a modularity condition on infinite subsets. ⋮ Dualities of groups ⋮ On some questions concerning permutable subgroups of finitely generated groups and projectivities of perfect groups ⋮ Groups with almost modular subgroup lattice ⋮ Groups Satisfying the Maximal Condition on Non-modular Subgroups ⋮ A note on uncountable groups with modular subgroup lattice

Cites Work

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• Groups of bounded period with subgroups of prime order
• Ein Untergruppensatz für modulare Gruppen
• Sui gruppi risolubili complementati

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