Groups in which every non-Abelian subgroup is permutable.

DOI10.1007/BF02871925zbMath1072.20038OpenAlexW2054370022MaRDI QIDQ2568665

Maria De Falco, Roland Schmidt, Carmela Musella, Francesco de Giovanni

Publication date: 19 October 2005

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02871925

zbMATH Keywords

locally graded groupsfinite normal subgroupspermutable subgroupsmeta-quasi-Hamiltonian groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (6)

A local study of group classes ⋮ Groups whose non-permutable subgroups are metaquasihamiltonian ⋮ Locally graded groups with all non-nilpotent subgroups permutable ⋮ Groups with all subgroups permutable or of finite rank. ⋮ Permutability in uncountable groups ⋮ Groups with restricted non-permutable subgroups

Cites Work

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• A note on permutable subgroups
• On certain minimal conditions for infinite groups
• Subgroup lattices of groups
• Permutable subgroups of infinite groups
• Structures and group theory. I
• Groups with metamodular subgroup lattice
• Groups in which every subgroup is nearly permutable

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