Groups with finitely many conjugacy classes of subgroups with large subnormal defect

DOI10.1017/S0017089500030408zbMath0820.20042MaRDI QIDQ4322983

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Publication date: 11 September 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finitely generated subgroupsnilpotent groupssubnormal subgroupsinfinite groupslocally soluble groupsfinitely many conjugacy classes of subgroupsinfinite locally graded groupslocally finite chief factors

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) 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) FC-groups and their generalizations (20F24)

Related Items (4)

Groups with many normal-by-finite subgroups ⋮ Some explicit bounds in groups with a finite number of non-normal subgroups ⋮ Groups with many normal or self-normalizing subgroups ⋮ Groups with a bounded number of conjugacy classes of non-normal subgroups

Cites Work

• On groups in which every subgroup is subnormal
• Unnamed Item

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