On Large Orbits of Actions of Finite Soluble Groups: Applications

DOI10.1007/978-3-030-41321-7_8OpenAlexW2995962214MaRDI QIDQ5119623

Hangyang Meng, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 31 August 2020

Published in: Recent Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-41321-7_8

zbMATH Keywords

soluble groupsfinite groupsformationsregular orbitslinear groupsprefrattini subgroupssystem normalisers

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45)

Cites Work

• Unnamed Item
• Unnamed Item
• Large character degrees of groups of odd order
• Finite soluble groups
• Large orbits of supersolvable linear groups
• On two questions from the Kourovka notebook
• A characterization of the Gaschütz subgroup of a finite soluble group
• Orbit sizes, character degrees and Sylow subgroups.
• Large orbits of subgroups of solvable linear groups.
• Large character degrees of solvable groups with Abelian Sylow 2-subgroups.
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• Large character degrees of solvable 3’-groups
• On large orbits of supersoluble subgroups of linear groups
• The largest Irreducible Character Degree of a Finite Group
• The Intersection of Sylow Subgroups
• The Minimal Base Size of Primitive Solvable Permutation Groups
• 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]