Generalized FC-groups with chain conditions.

DOI10.1134/S0037446615040163zbMath1335.20038OpenAlexW1443614447MaRDI QIDQ748487

Zhirang Zhang, Shengsheng Chen

Publication date: 29 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0037446615040163

zbMATH Keywords

maximal conditionFC-groupschain conditionsminimal condition\(\mathrm{FC}_c\)-groupsgroups with finite conjugacy classes

Mathematics Subject Classification ID

Other classes of groups defined by subgroup chains (20F22) Derived series, central series, and generalizations for groups (20F14) FC-groups and their generalizations (20F24)

Related Items (1)

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

Cites Work

• On the theory of generalized FC-groups.
• Finiteness conditions on subnormal and ascendant Abelian subgroups
• Some properties of groups inherited by normal subgroups of finite index
• On the minimality property for locally finite groups
• Groups with finite classes of conjugate subgroups
• GROUPS WHOSE PROPER SUBGROUPS ARE GENERALIZED FC-GROUPS
• PRONORMALITY IN GENERALIZEDFC-GROUPS
• On certain classes of infinite solvable groups
• Finiteness conditions on characteristic closures and cores of subgroups
• A Property of Locally Finite Groups
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)
• Finite Extensions of Abelian Groups With Minimum Condition
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