GROUPS OF INFINITE RANK IN WHICH NORMALITY IS A TRANSITIVE RELATION

DOI10.1017/S0017089513000323zbMath1298.20037OpenAlexW2002956867MaRDI QIDQ5415960

Maria De Falco, Francesco de Giovanni, Carmela Musella, Yaroslav P. Sysak

Publication date: 19 May 2014

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

Full work available at URL: https://doi.org/10.1017/s0017089513000323

zbMATH Keywords

subnormal subgroupstransitive normalitygroups of infinite rankT-groupshyperabelian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (14)

GROUPS OF INFINITE RANK WITH A NORMALIZER CONDITION ON SUBGROUPS ⋮ On groups whose subgroups of infinite rank are Sylow permutable. ⋮ Groups satisfying the double chain condition on subnormal subgroups ⋮ Groups whose subgroups of infinite rank are closed in the profinite topology ⋮ GROUPS OF INFINITE RANK WITH NORMALITY CONDITIONS ON SUBGROUPS WITH SMALL NORMAL CLOSURE ⋮ Groups whose proper subgroups of infinite rank have a transitive normality relation. ⋮ Groups in which every finite subnormal subgroup is normal. ⋮ Unnamed Item ⋮ Large soluble groups and the control of embedding properties. ⋮ On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup ⋮ Infinite groups with rank restrictions on subgroups. ⋮ A note on groups of infinite rank with modular subgroup lattice. ⋮ Uncountable groups in which normality is a transitive relation ⋮ Groups of infinite rank with finite conjugacy classes of subnormal subgroups.

Cites Work

• Groups with all subgroups permutable or of finite rank.
• Groups in which every infinite subnormal subgroup is normal
• Groups with all proper subgroups (finite rank)-by-nilpotent
• Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank
• Locally (soluble-by-finite) groups of finite rank
• On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect
• Groups with Almost Normal Subgroups of Infinite Rank
• Groups Satisfying the Minimal Condition on Subnormal Non-normal Subgroups
• Groups satisfying the maximal condition on subnormal non-normal subgroups

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