GROUPS IN WHICH ALL SUBGROUPS OF INFINITE RANK ARE SUBNORMAL

DOI10.1017/S0017089503001551zbMath1059.20023MaRDI QIDQ4813933

Howard Smith, Leonid A. Kurdachenko

Publication date: 7 September 2004

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

subnormal subgroupslocally nilpotent groupsgroups of infinite rankBaer groupslocally soluble-by-finite groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Related Items (14)

On groups whose subgroups of infinite rank are Sylow permutable. ⋮ On conormal subgroups ⋮ GROUPS OF INFINITE RANK WITH NORMALITY CONDITIONS ON SUBGROUPS WITH SMALL NORMAL CLOSURE ⋮ Groups in which every subgroup of infinite rank is almost permutable ⋮ Groups with all subgroups permutable or of finite rank. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Large soluble groups and the control of embedding properties. ⋮ Groups in which all subgroups of infinite special rank have bounded near defect ⋮ Infinite groups with rank restrictions on subgroups. ⋮ Groups with all subgroups either subnormal or self-normalizing. ⋮ Unnamed Item ⋮ Groups with some families of complemented subgroups ⋮ Groups with small deviation for non-subnormal subgroups.

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