GROUPS WITH FINITELY MANY DERIVED SUBGROUPS

DOI10.1112/S0024610705006484zbMath1084.20026OpenAlexW2005166529MaRDI QIDQ5465987

Derek J. S. Robinson, Francesco de Giovanni

Publication date: 23 August 2005

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

Full work available at URL: https://doi.org/10.1112/s0024610705006484

zbMATH Keywords

locally graded groupsderived subgroupscharacteristic seriesTarski groupsfinite-by-Abelian groupsinfinite simple groups with proper Abelian subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) General structure theorems for groups (20E34) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (14)

Finite 𝒟C-groups ⋮ Groups with finitely many isomorphic classes of non-abelian subgroups ⋮ Groups with finiteness conditions on the lower central series of non-normal subgroups ⋮ Unnamed Item ⋮ Uncountable groups with finitely many normalizers of large subgroups ⋮ Groups with finitely many isomorphic classes of relevant subgroups ⋮ Locally finite groups with finitely many isomorphism classes of derived subgroups. ⋮ On groups with two isomorphism classes of central factors ⋮ A note on commutator subgroups in groups of large cardinality ⋮ On the number of isomorphism classes of derived subgroups ⋮ ON GROUPS WITH TWO ISOMORPHISM CLASSES OF DERIVED SUBGROUPS ⋮ Groups with Finiteness Conditions on the Lower Central Series of Subgroups ⋮ Groups with finitely many non-isomorphic factor-groups ⋮ On groups with finitely many derived subgroups

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