Infinite groups with many permutable subgroups.

DOI10.4171/RMI/555zbMath1175.20036OpenAlexW2070918284MaRDI QIDQ1001589

Adolfo Ballester-Bolinches, Leonid A. Kurdachenko, Tatiana Pedraza, Javier Otal

Publication date: 19 February 2009

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1228834293

zbMATH Keywords

quasinormal subgroupspermutable subgroupsPT-groupshyperfinite groupsascendant subgroupsradical groupsAP-groupshyper-\(\mathfrak X\)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Special aspects of infinite or finite groups (20F99)

Related Items (10)

On the influence of transitively normal subgroups on the structure of some infinite groups. ⋮ On the structure of groups whose non-abelian subgroups are subnormal. ⋮ Sylow permutability in locally finite groups. ⋮ Periodic linear groups in which permutability is a transitive relation ⋮ Groups whose primary subgroups are normal sensitive. ⋮ Groups whose all subgroups are ascendant or self-normalizing. ⋮ Infinite groups with Sylow permutable subgroups. ⋮ Groups with Chernikov conjugacy classes in which Sylow permutability is a transitive relation. ⋮ On the structure of some locally nilpotent groups without contranormal subgroups ⋮ Groups with finitely many non-isomorphic factor-groups

Cites Work

• Zur Sylowstruktur auflösbarer Gruppen
• On periodic radical groups in which permutability is a transitive relation.
• Subgroup lattices of groups
• Criteria for permutability to be transitive in finite groups
• Permutable subgroups of infinite groups
• Gruppen, in denen das Normalteilersein transitiv ist.
• Finite soluble groups with permutable subnormal subgroups
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