Sylow subgroups of groups with Černikov conjugacy classes

DOI10.1016/0021-8693(87)90061-5zbMath0624.20026OpenAlexW1996014977MaRDI QIDQ1092165

Jesús Alcázar

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90061-5

zbMATH Keywords

FC-groupsSylow \(p\)-subgroupsmaximal \(p\)-subgroupsChernikov groupCC-groupsChernikov classeslocally conjugate

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (9)

P. Hall's covering group and embeddings of countable cc-groups ⋮ Fitting classes of CC-groups ⋮ Groups with iterated restrictions on conjugacy classes ⋮ CC-groups with periodic central factor ⋮ Locally inner automorphisms of CC-groups ⋮ Central-by-Chernikov groups are compact co-Chernikov CC-groups. ⋮ Countable periodic CC-groups as automorphism groups ⋮ Groups with minimal conditions related to finiteness properties on conjugacy classes ⋮ Sylow theory of CC-groups

Cites Work

• Local conjugacy classes. II
• Isomorphism of Sylow Subgroups of Infinite Groups.
• Some topological properties of residually Černikov groups
• A Conjugacy Theorem for Locally Finite Groups
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