\(\mathfrak F\)-subnormal and \(\mathfrak F\)-subabnormal chains in finite groups

DOI10.1007/BF02871973zbMath0921.20015OpenAlexW2032065473MaRDI QIDQ1286634

Shi-Rong Li

Publication date: 8 August 1999

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02871973

zbMATH Keywords

maximal subgroupssubnormal subgroupsprojectorsmaximal chains of subgroupscovering groupslocal formationsabnormal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• Finite groups all of whose subgroups are \({\mathcal F}\)-subnormal or \({\mathcal F}\)-subabnormal
• Finite soluble groups
• A note on subnormal and abnormal chains
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