A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower

DOI10.14492/HOKMJ/1562810510zbMath1476.20021OpenAlexW2957039082MaRDI QIDQ2002612

Jiangtao Shi

Publication date: 12 July 2019

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1562810510

zbMATH Keywords

solvable groupSylow towernon-nilpotent maximal subgroupnormal group

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) Maximal subgroups (20E28)

Related Items (3)

Some generalizations of Shao and Beltrán’s theorem ⋮ A note on the solvability of a finite group in which every non-nilpotent maximal subgroup is normal ⋮ Finite groups in which every maximal subgroup is nilpotent or normal or has p′-order

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