A proof of the Kegel-Wielandt conjecture on subnormal subgroups

DOI10.2307/2944342zbMath0726.20012OpenAlexW2326972670WikidataQ123080323 ScholiaQ123080323MaRDI QIDQ802746

Peter B. Kleidman

Publication date: 1991

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2944342

zbMATH Keywords

finite groupsSylow subgroupssubnormal subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35)

Related Items (16)

The size of a product of two subgroups and subnormality ⋮ Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups ⋮ On some results in the theory of finite partially soluble groups ⋮ Products of subgroups, subnormality, and relative orders of elements ⋮ On \(\sigma \)-subnormal subgroups of finite groups ⋮ On the normality of \(\mathfrak F^{\omega}\)-abnormal maximal subgroups of finite groups ⋮ On \(\sigma \)-subnormal subgroups of finite 3'-groups ⋮ On the Kegel-Wielandt \(\sigma \)-problem ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ On the Kegel-Wielandt \(\sigma \)-problem ⋮ Criterion of subnormality in a finite group: reduction to elementary binary partitions ⋮ Finite groups in which all \(p\)-subnormal subgroups form a lattice ⋮ On some arithmetic properties of nite groups ⋮ The Wielandt-Hartley theorem for submaximal \(\mathfrak{X}\)-subgroups ⋮ On some aspects of the Kegel-Wielandt \(\sigma \)-conjecture ⋮ On the Kegel-Wielandt \(\sigma\)-problem for binary partitions

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