On nilpotent subgroups containing non-trivial normal subgroups

DOI10.1515/JGT.2009.058zbMath1195.20018OpenAlexW2064595930MaRDI QIDQ3565219

M. Viseh, A. R. M. J. U. Jamali

Publication date: 2 June 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2009.058

zbMATH Keywords

normal subgroupstransitive permutation groupsnilpotent subgroupscharacteristic subgroupspoint stabilizers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Multiply transitive finite groups (20B20)

Related Items (8)

On intersections of abelian and nilpotent subgroups in finite groups. I ⋮ On intersections of primary subgroups pairs in finite group with socle \(\Omega_{2n}^+(2^m)\) ⋮ On the intersection of two nilpotent subgroups in small groups ⋮ Intersections of nilpotent subgroups in finite groups with sporadic socle ⋮ Intersections of two nilpotent subgroups in finite groups with socle \(L_2(q)\) ⋮ On the intersection of two nilpotent subgroups in a finite group with socle \(\Omega_8^+(2)\), \(E_6(2)\) or \(E_7(2)\) ⋮ Intersections of primary subgroups in nonsoluble finite groups isomorphic to \(L_n(2^m)\) ⋮ On intersections of abelian and nilpotent subgroups in finite groups. II

Cites Work

• Intersections of abelian subgroups in finite groups
• On subgroups containing non-trivial normal subgroups.
• Large cyclic subgroups contain non-trivial normal subgroups
• Abelian point stabilizers in transitive permutation groups

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