Locally Finite Groups All of Whose Subgroups are Boundedly Finite over Their Cores

DOI10.1112/S0024609397003068zbMath0904.20030OpenAlexW2063208568MaRDI QIDQ4399263

Howard Smith, James Wiegold, Silvana Rinauro, Giovanni Cutolo, John C. Lennox, Eugenii I. Khukhro

Publication date: 21 October 1998

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609397003068

zbMATH Keywords

subgroups of finite indexlocally finite groupsAbelian-by-finite groupscores of subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Finite nilpotent groups, (p)-groups (20D15) Local properties of groups (20E25)

Related Items (10)

Finite core-\(p\) \(p\)-groups ⋮ Every $2$-group with all subgroups normal-by-finite is locally finite ⋮ Locally finite groups with all subgroups normal-by-(finite rank) ⋮ Unnamed Item ⋮ On finite core-\(p^{2}\) \(p\)-groups ⋮ More on core-2 2-groups ⋮ A group of generalized finitary automorphisms of an abelian group ⋮ On core-2 groups ⋮ Inertial properties in groups ⋮ Linear core conditions in residually finite groups

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