Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation.

DOI10.1016/j.jalgebra.2009.11.013zbMath1207.20034OpenAlexW2123749390MaRDI QIDQ2270128

José M. Muñoz-Escolano, N. A. Turbaj

Publication date: 12 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.11.013

zbMATH Keywords

Chernikov groupsSylow permutable subgroupsPST-groupsCC-groupsperiodic locally soluble groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22) FC-groups and their generalizations (20F24)

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Zur Sylowstruktur auflösbarer Gruppen
• Sylow theory of CC-groups
• On periodic radical groups in which permutability is a transitive relation.
• Infinite groups with many permutable subgroups.
• Groups in which Sylow subgroups and subnormal subgroups permute.
• Sylow permutable subnormal subgroups of finite groups
• Subgroup lattices of groups
• On groups in which every subgroup is subnormal
• Permutable subgroups of infinite groups
• Groups with finite classes of conjugate subgroups
• Sylow permutable subnormal subgroups of finite groups II
• Gruppen, in denen das Normalteilersein transitiv ist.
• Minimal non-cc-groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups
• Caratterizzazione dei \(t\)-gruppi finiti risolubili
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