Groups satisfying the weak chain conditions for normal subgroups

DOI10.1216/RMJ-1987-17-1-41zbMath0629.20017OpenAlexW1997112221MaRDI QIDQ1093732

Manfred Karbe

Publication date: 1987

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1987-17-1-41

zbMATH Keywords

subgroups of finite indexlocally nilpotent groupslocally soluble groupsweak chain conditionsChernikovMax-\(\infty \) for normal subgroupsMin-\(\infty \) for normal 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) Other classes of groups defined by subgroup chains (20F22) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (2)

Just infinite modules over locally soluble groups ⋮ Chain conditions for subgroups of infinite order or index

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