Characterization of the solvable radical by Sylow multiplicities

DOI10.1016/j.jalgebra.2023.07.022zbMath1528.20022OpenAlexW4385454476MaRDI QIDQ6051007

Dan Levy

Publication date: 19 September 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.07.022

zbMATH Keywords

solvable radicalSylow multiplicitiesaverage Sylow multiplicity character

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Cites Work

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• Criteria for solvable radical membership via \(p\)-elements.
• The depth of subgroups of \(\mathrm{PSL}(2,q)\).
• On the maximal subgroups of the finite classical groups
• Lifting in Frattini covers and a characterization of finite solvable groups.
• Baer-Suzuki theorem for the solvable radical of a finite group.
• Chevalley groups of type \(G_ 2\) as the group of a trilinear form
• The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Maximal subgroups of \(G_2(2^n)\)
• Products of Sylow groups
• Large characteristically simple sections of finite groups
• On algebraic problems behind the Brouwer degree of equivariant maps
• Thompson-like characterizations of the solvable radical.
• On the centralizers of involutions in finite groups. II
• Sylow products and the solvable radical.
• The solvable radical of Sylow factorizable groups.
• The Average Sylow Multiplicity Character and the Solvable Residual
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Sylow Products and the Solvable Residual
• Characterizations of the solvable radical
• MULTIPLICITIES IN SYLOW SEQUENCES AND THE SOLVABLE RADICAL
• The Inclusion Problem for Finite Primitive Permutation Groups
• Primitive Subgroups of Wreath Products in Product Action
• Subgroups of Maximal Rank in Finite Exceptional Groups of Lie Type
• SOLVABILITY OF FINITE GROUPS VIA CONDITIONS ON PRODUCTS OF 2-ELEMENTS AND ODD p-ELEMENTS
• Maximal Subgroups of Automorphism Groups of Simple Groups
• The Average Sylow Multiplicity Character and Solvability of Finite Groups
• The Kernel of the Average Sylow Multiplicity Character and the Solvable Radical
• Group Characters and Sylow Subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• On a class of doubly transitive groups

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