Permutability in uncountable groups

DOI10.1007/s10231-018-0730-3zbMath1464.20007OpenAlexW2794300902MaRDI QIDQ1756415

Xianqiang Yang

Publication date: 14 January 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-018-0730-3

zbMATH Keywords

quasihamiltonian grouppermutable subgroupuncountable group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (7)

Generalized nilpotency in uncountable groups ⋮ Uncountable groups with finitely many normalizers of large subgroups ⋮ GROUPS IN WHICH ALL LARGE SUBGROUPS HAVE BOUNDED NEAR DEFECT ⋮ A note on commutator subgroups in groups of large cardinality ⋮ Uncountable groups in which normality is a transitive relation ⋮ GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS ⋮ Paranilpotency in uncountable groups

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• Permutable subgroups of infinite groups
• Groups in which every non-Abelian subgroup is permutable.
• On Groups in Which Every Subgroup of Infinite Rank Is Subnormal of Bounded Defect
• AN IMBEDDING THEOREM FOR GROUPS AND ITS COROLLARIES
• NILPOTENCY IN UNCOUNTABLE GROUPS

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