On two questions from the Kourovka notebook

DOI10.1016/j.jalgebra.2017.12.014zbMath1428.20020OpenAlexW2780628229MaRDI QIDQ1703105

Sergey Fedorovich Kamornikov, John Cossey, Adolfo Ballester-Bolinches, Hangyang Meng

Publication date: 1 March 2018

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

Full work available at URL: http://hdl.handle.net/1885/139099

zbMATH Keywords

soluble groupsfinite groupsFitting classesformationsinjectorsprefrattini subgroupsnormalisers

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (15)

Unnamed Item ⋮ On a question concerning the intersection of \(\Phi\)-isolators of finite soluble groups ⋮ On Large Orbits of Actions of Finite Soluble Groups: Applications ⋮ Semifield planes admitting the quaternion group \(Q_8\) ⋮ Verbally closed subgroups of free solvable groups ⋮ Intersections of nilpotent subgroups in finite groups with sporadic socle ⋮ Nearly finite-dimensional Jordan algebras ⋮ The axiomatic rank of Levi classes ⋮ On the characterization of the core of a \(\pi\)-prefrattini subgroup of a finite soluble group ⋮ Generating triples of involutions of groups of Lie type of rank 2 over finite fields ⋮ Two problems for solvable and nilpotent groups ⋮ Counterexamples to two conjectures in the Kourovka notebook ⋮ Generating sets of involutions of finite simple groups ⋮ Integral Cayley graphs ⋮ \((2, 3)\)-generated groups with small element orders

Cites Work

• Pre-Frattini groups.
• Finite soluble groups
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• Addendum to "The Intersection of Sylow Subgroups"
• Intersections of prefrattini subgroups in finite soluble groups
• On large orbits of subgroups of linear groups
• Large orbits in coprime actions of solvable groups
• Classes of Finite Groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]
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