On minimal conditions related to Miller-Moreno type groups

zbMath0522.20022MaRDI QIDQ1055887

Richard E. Phillips, Brunella Bruno

Publication date: 1983

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1983__69__153_0

zbMATH Keywords

locally finite groupslower central seriesminimal conditionsfinitely generated subgroupChernikov grouplocally graded groupdecreasing chain of subgroups

Mathematics Subject Classification ID

Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25)

Related Items (20)

On homomorphic images of locally graded groups ⋮ Groups in which every proper subgroup is Chernikov-by-nilpotent or nilpotent-by-Chernikov ⋮ On groups with certain proper \textit{FC}-subgroups ⋮ A local study of group classes ⋮ On minimal non-(torsion-by-nilpotent) and non-((locally finite)-by-nilpotent) groups ⋮ Groups whose proper subgroups are finite-by-nilpotent ⋮ Unnamed Item ⋮ Groups with iterated restrictions on conjugacy classes ⋮ On locally graded barely transitive groups. ⋮ Groups satisfying the double chain condition on non-abelian subgroups ⋮ On locally graded minimal non-(finite-by-hypercentral) groups ⋮ Groups whose proper subgroups are locally finite-by-nilpotent. ⋮ A survey on just-non-\(\mathfrak X\) groups. ⋮ Soluble minimal non-(finite-by-Baer)-groups. ⋮ Groups of infinite rank with a locally finite term in the lower central series. ⋮ Groups with minimal conditions related to finiteness properties on conjugacy classes ⋮ Groups with many subgroups having a transitive normality relation ⋮ Groups with many \(FC\)-subgroups ⋮ Sylow theory of CC-groups ⋮ A constructive approach to accessible group classes

Cites Work

• Infinite groups with a subnormality condition on infinite subgroups
• Groups with restricted non-normal subgroups
• Infinite groups with normality conditions on infinite subgroups
• On certain minimal conditions for infinite groups
• A group with trivial centre satisfying the normalizer condition
• Examples of locally finite groups
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• О Бесконечных Группах типа Миллера — Морено
• A dual approach to Černikov modules
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