On the Fitting length of NC-groups

DOI10.1007/BF00181657zbMath0741.20005OpenAlexW2058115248MaRDI QIDQ1176347

Fletcher Gross, Anna Luisa Gilotti, Umberto Tiberio

Publication date: 25 June 1992

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181657

zbMATH Keywords

centralizernormalizergeneralized Fitting subgroupSylow \(p\)-subgroups\(p\)-lengthtrivial centreFitting seriesFitting lengthself-normalizingsoluble NC-groups

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25)

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