Groups with many \(FC\)-subgroups

DOI10.1006/jabr.1998.7836zbMath0931.20031OpenAlexW1990977829MaRDI QIDQ1305034

Francesco de Giovanni, Silvana Franciosi, Yaroslav P. Sysak

Publication date: 28 February 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7836

zbMATH Keywords

maximal conditionlocally graded groupsChernikov groupsconjugacy classes of non-\(FC\)-subgroupsminimal condition on non-\(FC\)-subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (9)

A local study of group classes ⋮ Groups with many abelian or self-normalizing subgroups ⋮ Unnamed Item ⋮ Groups with some restrictions on non-Baer subgroups ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ Groups with many subgroups having polycyclic-by-finite layers or derived subgroup ⋮ Groups Whose Finite Homomorphic Images are Metahamiltonian ⋮ Groups with restricted non-permutable subgroups ⋮ Groups with many subgroups having a transitive normality relation

Cites Work

• On minimal conditions related to Miller-Moreno type groups
• On absolutely simple locally finite groups
• Locally graded minimal non \(CC\)-groups are \(p\)-groups
• Strong finiteness conditions in locally finite groups
• On the minimality property for locally finite groups
• Uniform Finiteness Conditions in Residually Finite Groups
• Minimal non-cc-groups
• О Бесконечных Группах типа Миллера — Морено
• Locally finite minimal non-FC-groups
• Barely Transitive Locally Nilpotent P-Groups
• Groups with few non-nilpotent subgroups
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