A Fitting height lemma and its applications

DOI10.1007/s00013-021-01591-3zbMath1478.20010OpenAlexW3157992464WikidataQ124881520 ScholiaQ124881520MaRDI QIDQ2040288

M. Yasir Kızmaz

Publication date: 13 July 2021

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

Full work available at URL: http://hdl.handle.net/11693/76910

zbMATH Keywords

solvable groupsFitting heightfixed point free separability

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)

Cites Work

• Fixed point free action on groups of odd order.
• Centralizers of finite nilpotent subgroups in locally finite groups
• On a Fitting length conjecture without the coprimeness condition.
• The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms
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