Criteria for subnormality in finite groups.

DOI10.1007/BF01237117zbMath0275.20041MaRDI QIDQ2265520

Helmut Wielandt

Publication date: 1974

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172094

Mathematics Subject Classification ID

Subnormal subgroups of abstract finite groups (20D35)

Related Items (36)

On some results in the theory of finite partially soluble groups ⋮ A criterion for \({\mathcal F}\)-subnormality ⋮ A generalisation of a theorem of Wielandt ⋮ Zur Vertauschbarkeit und Subnormalität von Untergruppen. (On the permutability and subnormality of subgroups) ⋮ On \(\sigma \)-subnormality of Sylow subgroups in a finite group ⋮ Subnormality in linear groups ⋮ Gruppi finiti i cui sottogruppi sono o subnormali o pronormali ⋮ Wielandt's subnormality criterion and linear groups ⋮ Subnormalität in faktorisierten endlichen Gruppen ⋮ Webs of Lagrangian tori in projective symplectic manifolds ⋮ Finite groups in which subnormalizers are subgroups ⋮ A criterion for the \(\sigma \)-subnormality of a subgroup in a finite \(3'\)-group ⋮ Further remarks on linear groups ⋮ A note on subnormality ⋮ On extensions of the Baer-Suzuki theorem ⋮ Finite groups ⋮ Um problema da teoria dos subgrupos subnormais ⋮ Subnormalizers in finite groups ⋮ Subnormality, ascendancy, and the minimal condition on subgroups ⋮ Subnormality and invariant relations on conjugacy classes in finite groups ⋮ A note on the structure of a finite group \(G\) having a subgroup \(H\) maximal in \(\langle H,H^g\rangle\) ⋮ Subideals and ascendant subalgebras of Lie algebras ⋮ Criteria for subnormality ⋮ Criterion of subnormality in a finite group: reduction to elementary binary partitions ⋮ Über das Erzeugnis paarweise kosubnormaler Untergruppen ⋮ A subnormality criterion in finite groups related to character degrees ⋮ Subnormality and ascendancy in soluble groups of finite rank ⋮ On some arithmetic properties of nite groups ⋮ On weakly subnormal subgroups which are not subnormal ⋮ ON ITERATED MAL'CEV PRODUCTS WITH A PSEUDOVARIETY OF GROUPS ⋮ Hypercentral subgroups of finite groups ⋮ On ascendant subgroups of infinite groups ⋮ A note on additive subgroups of finite rings ⋮ Cosubnormality and the hypercenter ⋮ Variations on the Baer-Suzuki theorem. ⋮ Subnormality in fatorizable finite soluble groups

Cites Work

• Unnamed Item
• Engelsche Elemente Noetherscher Gruppen
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Vertauschbarkeit von Untergruppen und Subnormalität
• Endliche Gruppen I
• On conjugacy classes of p-elements

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