On the nilpotent π-length of a finite π-solvable group

DOI10.1515/DMA.2001.11.5.529zbMath1063.20017OpenAlexW1978231268MaRDI QIDQ4809545

O. A. Shpyrko, Victor S. Monakhov

Publication date: 30 August 2004

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma.2001.11.5.529

zbMATH Keywords

\(\pi\)-solvable groups\(\pi\)-Hall subgroupsnilpotent \(\pi\)-lengths

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)

Related Items (3)

Unnamed Item ⋮ The derived \(\pi\)-length, nilpotent \(\pi\)-length, and simple \(\pi\)-length of finite \(\pi\)-soluble groups. ⋮ The nilpotent \(\pi\)-length of maximal subgroups in finite \(\pi\)-soluble groups.

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