On Local Embedding Properties of Injectors of Finite Soluble Groups

DOI10.1017/S1446788700008673zbMath1060.20015MaRDI QIDQ4820569

Stephanie Reifferscheid

Publication date: 15 October 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

submodularityfinite soluble groupsFitting classespermutabilityinjectorsembedding propertiesnormally embedded subgroupsnormal productsLockett closures

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)

Cites Work

• Submodular subgroups in finite groups
• Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen
• Finite soluble groups
• On \(\mathfrak F\)-normal Fitting classes of finite soluble groups
• On locally normal Fitting classes of finite soluble groups
• Subgroup lattices of groups
• Über normale Schunck- und Fittingklassen
• Fitting formations of finite soluble groups
• A family of Fitting classes of supersoluble groups

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