Permutable subgroups and the Maier-Schmid theorem for nilpotent-by-finite groups

DOI10.1016/J.JALGEBRA.2019.11.008zbMath1445.20025OpenAlexW2991431529MaRDI QIDQ2285310

Antonella Leone, Giovanni Cutolo

Publication date: 8 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.11.008

zbMATH Keywords

nilpotent groupsquasinormal subgroupspermutable subgroupshypercentral embedding

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 (1)

ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL

Cites Work

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• Quasinormal subgroups of infinite groups.
• Infinite permutable subgroups
• On some questions concerning permutable subgroups of finitely generated groups and projectivities of perfect groups
• Subgroup lattices of groups
• Properties of embeddings of locally cyclic modular subgroups in groups.
• The Maier-Schmid problem for infinite groups.
• A note on torsion-free locally cyclic quasinormal subgroups.
• The embedding of quasinormal subgroups in finite groups

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