Sylow Products and the Solvable Residual

DOI10.1080/00927870701776615zbMath1156.20016OpenAlexW1979376778MaRDI QIDQ3510053

Dan Levy, Gil Kaplan

Publication date: 26 June 2008

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

Full work available at URL: https://doi.org/10.1080/00927870701776615

zbMATH Keywords

finite groupsSylow subgroupsproducts of subgroupssolvable residual

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) Products of subgroups of abstract finite groups (20D40)

Related Items

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

Cites Work

• 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.
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• A Characteristic Property of Soluble Groups