Groups with normality conditions for subgroups of infinite rank.

DOI10.5565/PUBLMAT_58214_16zbMath1310.20038OpenAlexW2095534273MaRDI QIDQ400696

Carmela Musella, Francesco de Giovanni, Maria De Falco

Publication date: 22 August 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1405949321

zbMATH Keywords

almost normal subgroupsnearly normal subgroupsinfinite rank subgroupsnormal-by-finite subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) FC-groups and their generalizations (20F24)

Related Items (18)

On groups whose subgroups of infinite rank are Sylow permutable. ⋮ Groups whose subgroups of infinite rank are closed in the profinite topology ⋮ A local study of group classes ⋮ Groups with many abelian or self-normalizing subgroups ⋮ Groups in which every subgroup of infinite rank is almost permutable ⋮ On locally finite groups whose subgroups of infinite rank have some permutable property ⋮ Infinite minimal non-hypercyclic groups ⋮ Large norms in group theory ⋮ Unnamed Item ⋮ Large soluble groups and the control of embedding properties. ⋮ Groups in which all subgroups of infinite special rank have bounded near defect ⋮ Linear groups whose proper subgroups are close to being nilpotent ⋮ Groups with permutability conditions for subgroups of infinite rank ⋮ A note on groups of infinite rank with modular subgroup lattice. ⋮ A note on commutator subgroups in groups of large cardinality ⋮ GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS ⋮ Groups with many modular or self-normalizing subgroups ⋮ Groups of infinite rank with finite conjugacy classes of subnormal subgroups.

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