GROUPS WHOSE PROPER SUBGROUPS OF INFINITE RANK HAVE FINITE CONJUGACY CLASSES

DOI10.1017/S0004972713000014zbMath1298.20049OpenAlexW2130472146MaRDI QIDQ5406092

Nadir Trabelsi, Carmela Musella, Francesco de Giovanni, Maria De Falco

Publication date: 1 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000014

zbMATH Keywords

FC-groupsinfinite rank subgroupsgroups with finite conjugacy classeslocally (soluble-by-finite) groupsfinite rank subgroups

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)

Related Items (17)

On groups with certain proper \textit{FC}-subgroups ⋮ Groups whose proper subgroups of infinite rank have a transitive normality relation. ⋮ Groups whose proper subgroups are metahamiltonian-by-finite ⋮ A note on groups whose proper subgroups are quasihamiltonian-by-finite ⋮ On metahamiltonian groups of infinite rank. ⋮ Uncountable groups with restrictions on subgroups of large cardinality. ⋮ Groups whose proper subgroups of infinite rank have minimax conjugacy classes ⋮ On minimal non-\(M_rC\)-groups. ⋮ Large soluble groups and the control of embedding properties. ⋮ Infinite groups with rank restrictions on subgroups. ⋮ Groups with many subgroups having polycyclic-by-finite layers or derived subgroup ⋮ On groups with all proper subgroups finite-by-abelian-by-finite ⋮ Groups of infinite rank with a locally finite term in the lower central series. ⋮ Unnamed Item ⋮ A note on groups with restrictions on centralizers of in nite index ⋮ Groups with some families of complemented subgroups ⋮ Groups Whose Proper Subgroups of Infinite Rank Have Polycyclic Conjugacy Classes

Cites Work

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• On locally finite groups of finite rank
• О Бесконечных Группах типа Миллера — Морено
• Locally finite minimal non-FC-groups

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