Finiteness conditions on conjugate classes of subgroups in generalized FC-groups

DOI10.1080/00927872.2017.1350692zbMath1480.20088OpenAlexW2737090146MaRDI QIDQ5231233

Jitao Cen, Zhirang Zhang

Publication date: 26 August 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1350692

zbMATH Keywords

finiteness conditions\(FC\)-groupsconjugate classes of subgroupsnormal closures of subgroups\(BFC_c\)-groups (\(FN_c\)-groups)\(CF_c\)-groups\(FC_c\)-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) General structure theorems for groups (20E34) FC-groups and their generalizations (20F24)

Cites Work

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• The Engel elements in generalized FC-groups.
• Generalized FC-groups with chain conditions.
• On theorems of B. H. Neumann concerning FC-groups
• On the theory of generalized FC-groups.
• Groups with finite classes of conjugate subgroups
• GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS
• PRONORMALITY IN GENERALIZEDFC-GROUPS
• Finiteness conditions on characteristic closures and cores of subgroups
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)

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