Locally (soluble-by-finite) groups of finite rank

DOI10.1006/jabr.1996.0200zbMath0854.20037OpenAlexW2041617394MaRDI QIDQ1922491

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

Publication date: 20 January 1997

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

Full work available at URL: https://semanticscholar.org/paper/6969739b2fe23af305b25290a73a10eaf7afbf65

zbMATH Keywords

classification of finite simple groupslocally soluble-by-finite groupslocally soluble subgroups of finite rank

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Finite simple groups and their classification (20D05) Local properties of groups (20E25)

Related Items (21)

On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect ⋮ GROUPS OF INFINITE RANK WITH A NORMALIZER CONDITION ON SUBGROUPS ⋮ Locally (soluble-by-finite) groups with all proper insoluble subgroups of finite rank ⋮ Some countably recognizable classes of groups ⋮ A note on skew linear groups of finite rank ⋮ Groups whose proper subgroups of infinite rank have a transitive normality relation. ⋮ Unnamed Item ⋮ The weak minimal condition on subgroups which fail to be close to normal subgroups ⋮ Groups with all subgroups permutable or of finite rank. ⋮ Groups with countably many subgroups. ⋮ Groups in which all subgroups of infinite special rank have bounded near defect ⋮ GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES ⋮ GROUPS WITH ALL PROPER SUBGROUPS (FINITE RANK)-BY-NILPOTENT. II ⋮ GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ 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. ⋮ On groups that are residually of finite rank ⋮ Groups with many modular or self-normalizing subgroups ⋮ Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank ⋮ Unnamed Item ⋮ Groups Whose Proper Subgroups of Infinite Rank Have Polycyclic Conjugacy Classes

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