Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank

DOI10.1016/S0022-4049(97)00132-1zbMath0927.20017OpenAlexW2090012617MaRDI QIDQ1295686

Martin J. Evans, Martyn R. Dixon, Howard Smith

Publication date: 8 December 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(97)00132-1

zbMATH Keywords

local systemssubgroups of finite rankdescending normal serieslocally (soluble-by-finite) groupslocally graded periodic groupssub-Cartesian products

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25)

Related Items (24)

On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect ⋮ GROUPS OF INFINITE RANK WITH A NORMALIZER CONDITION ON SUBGROUPS ⋮ On groups whose subgroups of infinite rank are Sylow permutable. ⋮ GROUPS OF INFINITE RANK WITH NORMALITY CONDITIONS ON SUBGROUPS WITH SMALL NORMAL CLOSURE ⋮ Groups with many abelian or self-normalizing subgroups ⋮ Groups whose proper subgroups of infinite rank have a transitive normality relation. ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ Groups with some restrictions on non-Baer subgroups ⋮ On metahamiltonian groups of infinite rank. ⋮ Large norms in group theory ⋮ Groups with an Engel restriction on proper subgroups of infinite rank ⋮ Large soluble groups and the control of embedding properties. ⋮ Groups in which all subgroups of infinite special rank have bounded near defect ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ ON CERTAIN APPLICATIONS OF THE KHUKHRO–MAKARENKO THEOREM ⋮ GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ Infinite groups with rank restrictions on subgroups. ⋮ A finiteness condition on subgroups of large derived length. ⋮ A note on groups of infinite rank with modular subgroup lattice. ⋮ Groups of infinite rank with a locally finite term in the lower central series. ⋮ Unnamed Item ⋮ Groups Whose Proper Subgroups of Infinite Rank Have Polycyclic Conjugacy Classes ⋮ Groups whose proper subgroups of infinite rank are finite-by-hypercentral or hypercentral-by-finite

Cites Work

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• Locally (soluble-by-finite) groups of finite rank
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• Strong finiteness conditions in locally finite groups
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• Radical groups of finite Abelian subgroup rank
• On the Finiteness of Certain Soluble Groups
• A New Treatment of Soluble Groups with Finiteness conditions on their Abelian Subgroups
• Finite Frattini Factors in Finitely Generated Soluble Groups

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