Sylow theory of CC-groups

zbMath0734.20016MaRDI QIDQ810638

Javier Otal, Juan Manuel Peña

Publication date: 1991

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1991__85__105_0

zbMATH Keywords

Sylow basesSylow p-subgroupsChernikov group(locally nilpotent)-by-finiteCC-groupsconjugacy of Carter subgroupslocal conjugacy theoremsperiodic locally soluble CC-groupsself-normalizing locally nilpotent subgroupsSylow \(\pi\)-subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items

Groups with iterated restrictions on conjugacy classes, Locally inner automorphisms of CC-groups, Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation., Central-by-Chernikov groups are compact co-Chernikov CC-groups., Unnamed Item

Cites Work

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• On minimal conditions related to Miller-Moreno type groups
• Sylow subgroups of groups with Černikov conjugacy classes
• Locally inner automorphisms of CC-groups
• Saturated formations and Sylow structure in locally finite groups
• Minimal non-cc-groups
• Characterizations of the Conjugacy of Sylow p-Subgroups of CC-Groups
• Some Finiteness Conditions in Locally Soluble Groups
• Abnormal Subgroups of a Class of Periodic Locally Soluble Groups