Uncountable groups with restrictions on subgroups of large cardinality.

DOI10.1016/j.jalgebra.2015.10.002zbMath1333.20037OpenAlexW2117938457MaRDI QIDQ897769

Francesco de Giovanni, Marco Trombetti

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.10.002

zbMATH Keywords

FC-groupsnilpotent-by-finite groupsequicardinal subgroupsuncountable groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Applications of set theory (03E75) FC-groups and their generalizations (20F24)

Related Items (16)

Generalized nilpotency in uncountable groups ⋮ A local study of group classes ⋮ NILPOTENCY IN UNCOUNTABLE GROUPS ⋮ Unnamed Item ⋮ Groups with iterated restrictions on conjugacy classes ⋮ Large norms in group theory ⋮ A NOTE ON GROUPS WHOSE PROPER LARGE SUBGROUPS HAVE A TRANSITIVE NORMALITY RELATION ⋮ Permutability in uncountable groups ⋮ On groups with a restriction on normal subgroups ⋮ A note on commutator subgroups in groups of large cardinality ⋮ A note on uncountable groups with modular subgroup lattice ⋮ Uncountable groups in which normality is a transitive relation ⋮ GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS ⋮ Groups whose proper subgroups are linear ⋮ Paranilpotency in uncountable groups ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS

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