Carter subgroups and Fitting heights of finite groups

DOI10.1007/s00013-017-1143-zzbMath1494.20026OpenAlexW2791026617MaRDI QIDQ1749374

Wen-Bin Guo, Evgeny P. Vdovin

Publication date: 16 May 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-017-1143-z

zbMATH Keywords

finite groupgeneralized Fitting subgroupCarter subgroupgeneralized Fitting height

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (1)

The number of Sylow subgroups in special linear groups of degree 2

Cites Work

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• On the existence of Carter subgroups.
• Carter subgroups and Fitting heights of finite solvable groups
• Carter subgroups of finite almost simple groups
• Two Applications of Twisted Wreath Products to Finite Soluble Groups
• On the length of finite groups and of fixed points
• Automorphisms of solvable groups

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