A note on groups of infinite rank with modular subgroup lattice.

DOI10.1007/s00605-014-0610-xzbMath1316.20028OpenAlexW2038910736MaRDI QIDQ2514256

Maria De Falco, Francesco de Giovanni, Carmela Musella

Publication date: 3 February 2015

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

Full work available at URL: https://doi.org/10.1007/s00605-014-0610-x

zbMATH Keywords

lattices of subgroupspermutable subgroupsmodular subgroupsmodular subgroup latticesperiodic locally graded groupspermodular subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (9)

On groups whose subgroups of infinite rank are Sylow permutable. ⋮ Groups whose subgroups of infinite rank are closed in the profinite topology ⋮ ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL ⋮ Large characteristic subgroups with modular subgroup lattice ⋮ Groups satisfying weak chain conditions on non-modular subgroups ⋮ Large soluble groups and the control of embedding properties. ⋮ Permutability in uncountable groups ⋮ Groups with many modular or self-normalizing subgroups ⋮ Groups of infinite rank with finite conjugacy classes of subnormal subgroups.

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• Modular Subgroup Structure in Infinite Groups
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