Locally graded groups with all non-nilpotent subgroups permutable

DOI10.1016/J.JALGEBRA.2023.05.020zbMath1520.20057OpenAlexW4377694767MaRDI QIDQ6169100

Martin J. Evans, Martyn R. Dixon, Sevgi Atlıhan

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.05.020

zbMATH Keywords

nilpotent groupquasihamiltonian grouppermutable subgroup

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

Locally graded groups with all non-nilpotent subgroups permutable. II

Cites Work

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• Residually finite subgroups of locally nilpotent groups.
• Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)
• Subgroup lattices of groups
• A note on locally graded groups
• Permutable subgroups of infinite groups
• Groups in which every non-Abelian subgroup is permutable.
• Torsion-free groups in which every subgroup is subnormal.
• Locally Nilpotent p -Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov
• Torsion-free groups with all subgroups subnormal

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