On intersections of abelian and nilpotent subgroups in finite groups. II

DOI10.1134/S0001434619030076zbMath1472.20038OpenAlexW2944492440WikidataQ127902534 ScholiaQ127902534MaRDI QIDQ2314101

Viktor Ivanovich Zenkov

Publication date: 19 July 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619030076

zbMATH Keywords

finite groupabelian subgroupFitting subgroupnilpotent subgroupintersection of subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Intersections of three nilpotent subgroups in a finite group ⋮ On intersections of nilpotent subgroups in finite groups with simple socle from the ``Atlas of finite groups ⋮ Intersections of three nilpotent subgroups of finite groups

Cites Work

• Intersections of two nilpotent subgroups in finite groups with socle \(L_2(q)\)
• On intersection of primary subgroups of odd order in finite almost simple groups
• Intersections of abelian subgroups in finite groups
• On intersections of abelian and nilpotent subgroups in finite groups. I
• Abelian point stabilizers in transitive permutation groups
• On nilpotent subgroups containing non-trivial normal subgroups
• The local structure of finite groups of characteristic 2 type
• Involutions in Chevalley groups over fields of even order
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