On a question of the Kourovka notebook concerning permutability

DOI10.1016/J.JALGEBRA.2022.06.006zbMath1498.20039OpenAlexW4283014101WikidataQ112881769 ScholiaQ112881769MaRDI QIDQ2161153

Adolfo Ballester-Bolinches, Sergey Fedorovich Kamornikov, Ramón Esteban-Romero, Vicent Pérez-Calabuig

Publication date: 4 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.06.006

zbMATH Keywords

nilpotent groupfinite grouppermutable subgroupSchmidt subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Uses Software

• GAP
• permut

Cites Work

• Products of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Finite soluble groups
• A description based on languages of the final non-deterministic automaton
• On the commutability of subgroups of a finite group
• On the application of structure theory to groups
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