Groups with finite conjugacy classes of subnormal subgroups

zbMath0692.20028MaRDI QIDQ583370

Carlo Casolo

Publication date: 1989

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_1989__81__107_0

zbMATH Keywords

soluble groupsautomorphism groupssubnormal subgroupstransitive normalityT-groups\(V_ 1\)-groupsabelian-by-finitefinite-by-metabelianfinitely many conjugatesgroup of power automorphismssoluble \(T^*\)- groupsoluble \(V_ n\)-groupsoluble V-groupssubgroup of finite indexWielandt subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) FC-groups and their generalizations (20F24)

Related Items (19)

Groups with finitely many normalizers of subnormal subgroups. ⋮ ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL ⋮ On groups with many almost normal subgroups ⋮ Groups with restrictions on infinite subnormal subgroups ⋮ Groups in which each subgroup is commensurable with a normal subgroup ⋮ Groups with almost Frattini closed subgroups ⋮ A real chain condition for groups ⋮ Inertial automorphisms of an Abelian group. ⋮ A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION ⋮ Large soluble groups and the control of embedding properties. ⋮ On groups in which subnormal subgroups of infinite rank are commensurable with some normal subgroup ⋮ Unnamed Item ⋮ Subgroups of finite index in generalized T-groups ⋮ Groups with many self-centralizing or self-normalizing subgroups ⋮ Inertial properties in groups ⋮ Groups in which each subnormal subgroup is commensurable with some normal subgroup ⋮ Inertial endomorphisms of an abelian group. ⋮ The influence of arrangement of subgroups on the group structure ⋮ Groups of infinite rank with finite conjugacy classes of subnormal subgroups.

Cites Work

• Subgroups of finite index in generalized T-groups
• Groups with boundedly finite automorphism classes
• Groups in which every infinite subnormal subgroup is normal
• Power automorphisms of a group
• Groups with finite classes of conjugate subgroups
• Groups with restriction on their infinite subnormal subgroups
• Automorphismengruppen von Gruppen mit endlichen Bahnen gleichmäßig beschränkter Mächtigkeit.
• Some Explicit Bounds in Groups with Finite Derived Groups
• Groups Covered By Permutable Subsets
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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