Local characterizations of infinite groups whose ascendant subgroups are permutable

DOI10.1515/FORUM.2010.010zbMath1195.20031OpenAlexW2070852817MaRDI QIDQ5306379

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

Publication date: 9 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.010

zbMATH Keywords

pronormal subgroupspermutable subgroupstransitive permutabilityPT-groupsascendant subgroupsAP-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Periodic linear groups in which permutability is a transitive relation ⋮ Unnamed Item ⋮ Subpermutable subgroups of skew linear groups and unit groups of real group algebras ⋮ Infinite groups with Sylow permutable subgroups.

Cites Work

• Zur Sylowstruktur auflösbarer Gruppen
• On periodic radical groups in which permutability is a transitive relation.
• Sylow permutable subnormal subgroups of finite groups
• Criteria for permutability to be transitive in finite groups
• Permutable subgroups of infinite groups
• ON GROUPS WHICH CONTAIN NO HNN-EXTENSIONS
• On a class of locally finite T-groups
• Finite Groups with Pro-Normal Subgroups
• Pronormality in Finite Groups
• Finite soluble groups with permutable subnormal subgroups

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