The Average Sylow Multiplicity Character and Solvability of Finite Groups

DOI10.1080/00927870902828694zbMath1192.20012OpenAlexW2050899503MaRDI QIDQ5305996

Dan Levy

Publication date: 24 March 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828694

zbMATH Keywords

characterssolvable radicalSylow sequences

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (5)

Prosolvability criteria and properties of the prosolvable radical via Sylow sequences. ⋮ Characterization of the solvable radical by Sylow multiplicities ⋮ The Kernel of the Average Sylow Multiplicity Character and the Solvable Radical ⋮ Sylow multiplicities in finite groups ⋮ The Average Sylow Multiplicity Character and the Solvable Residual

Cites Work

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• Character theory of finite groups
• On products of Sylow subgroups in finite groups
• Products of Sylow groups
• Sylow products and the solvable radical.
• The solvable radical of Sylow factorizable groups.
• MULTIPLICITIES IN SYLOW SEQUENCES AND THE SOLVABLE RADICAL
• Group Characters and Sylow Subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable

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