Groups with countably many subgroups.

DOI10.1016/J.JALGEBRA.2015.10.007zbMath1342.20030OpenAlexW2195441172MaRDI QIDQ903942

Howard Smith, Giovanni Cutolo

Publication date: 15 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.10.007

zbMATH Keywords

soluble groupsAbelian subgroupsminimax groupssoluble-by-finite groupsCMS-groupscountable sets of subgroupsgroup with countably many subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (2)

On groups that are dominated by countably many proper subgroups ⋮ On groups with countably many maximal subgroups

Cites Work

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• On the Theory of Locally Polycyclic Groups
• LOCALLY (SOLUBLE-BY-FINITE) GROUPS WITH VARIOUS RESTRICTIONS ON SUBGROUPS OF INFINITE RANK

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