Subgroups of a Direct Product of Groups that Satisfy the Strong Frattini Argument

DOI10.1080/00927872.2010.507231zbMath1220.20014OpenAlexW2100341089MaRDI QIDQ5390545

Joseph Evan, Peter Hauck, Stephanie Reifferscheid, Ben Brewster

Publication date: 4 April 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.507231

zbMATH Keywords

finite solvable groupsembeddingsdirect productspronormal subgroupsinjectorsFitting setsweak Frattini argumentnormally embedded subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

On constructing CAP-subgroups in direct products

Cites Work

• Pronormal subgroups of a direct product of groups.
• Fittingfunktoren in endlichen auflösbaren Gruppen. I
• Persistent characterizations of injectors in finite solvable groups
• Characterization of injectors in finite soluble groups
• Fitting functors in finite solvable groups: II
• Normally embedded subgroups in direct products

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