Infinite groups with Sylow permutable subgroups.

DOI10.1007/s10231-009-0123-8zbMath1213.20025OpenAlexW2090677994MaRDI QIDQ711453

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

Publication date: 26 October 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0123-8

zbMATH Keywords

Sylow subgroupsperiodic groupspermutable subgroupstransitive permutabilityhyperfinite groupsascendant subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) 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)

On groups whose subgroups of infinite rank are Sylow permutable. ⋮ On locally finite groups whose subgroups of infinite rank have some permutable property ⋮ A note on Sylow permutable subgroups of infinite groups. ⋮ Periodic linear groups in which permutability is a transitive relation ⋮ The seriality problem for weakly Sylow-permutable subgroups in locally finite groups ⋮ SEMIPERMUTABILITY IN GENERALISED SOLUBLE GROUPS

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Zur Sylowstruktur auflösbarer Gruppen
• Infinite groups with many permutable subgroups.
• Subgroup lattices of groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Local characterizations of infinite groups whose ascendant subgroups are permutable
• Sylow Subgroups of Locally Finite Groups
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