Ein Untergruppensatz für modulare Gruppen

DOI10.1007/BF01301933zbMath0483.20015OpenAlexW137545056MaRDI QIDQ1163089

Ragmar Rudolph

Publication date: 1982

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178091

zbMATH Keywords

lattice of subgroupsfinitely generated2-generator modular groupdirect sum of Tarski-monstersinfinite groups with every proper subgroup of prime orderinfinite periodic modular groupsTarski-monsters

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15) Representation theory of lattices (06B15)

Related Items (2)

Lattices with modular identity and Lie algebras ⋮ Groups with modular lattice of subgroups

Cites Work

• Die Endlichkeit einiger modularer Gruppen
• Sul comportamente degli elementi periodici in un gruppo di Dedekind infinito
• AN INFINITE GROUP WITH SUBGROUPS OF PRIME ORDERS
• On the Lattice of Subgroups of Finite Groups
• Finiteness properties of groups
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