Groups whose cyclic subgroups have bounded permutability properties.

DOI10.1007/S11587-008-0023-ZzbMath1232.20040OpenAlexW2086422551MaRDI QIDQ661107

Maria De Falco, Carmela Musella

Publication date: 18 February 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-008-0023-z

zbMATH Keywords

locally finite groupspermutable subgroupsFC-groupsBFC-groupsfinite commutator subgroupgroups with boundedly finite conjugacy classesnumbers of conjugates of cyclic subgroupsquasi-Hamiltonian groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) FC-groups and their generalizations (20F24)

Cites Work

• Subgroup lattices of groups
• Permutable subgroups of infinite groups
• Groups with finite classes of conjugate subgroups
• Groups in Which Every Subgroup Is Permutable-by-Finite
• Groups in which every subgroup is nearly permutable
• Centre and norm
• Some Explicit Bounds in Groups with Finite Derived Groups
• Groups with almost modular subgroup lattice
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