GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS

DOI10.1142/S021949881100518XzbMath1248.20041MaRDI QIDQ3117928

Giovanni Vincenzi, D. Imperatore, Alessio Russo

Publication date: 1 March 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

generalized FC-groupsminimal non-FC-groupsfinite factor groupsfinite residualsminimal non-\(\text{FC}^n\)-groups

Mathematics Subject Classification ID

Residual properties and generalizations; residually finite groups (20E26) FC-groups and their generalizations (20F24)

Related Items

On the Wielandt subgroup of generalized FC-groups ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ Groups with iterated restrictions on conjugacy classes ⋮ ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION ⋮ Generalized FC-groups with chain conditions. ⋮ Finiteness conditions on conjugate classes of subgroups in generalized FC-groups ⋮ Groups in which normality is a weakly transitive relation

Cites Work

• On groups whose subgroups are closed in the profinite topology.
• Groups with restricted non-normal subgroups
• On the theory of generalized FC-groups.
• Infinite nonabelian groups in which all infinite nonabelian subgroups are invariant
• Groups with many nilpotent subgroups
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