Gruppi finiti i cui sottogruppi sono o subnormali o pronormali

zbMath0437.20013MaRDI QIDQ1141228

Pierantonio Legovini

Publication date: 1977

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1977__58__129_0

zbMATH Keywords

Carter subgroupssubnormal subgroupspronormal subgroupsSylow towersFitting length

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35)

Related Items (4)

Finite groups whose subgroups are either subnormal or pronormal. II ⋮ Catene pronormali nei gruppi finiti supersolubili ⋮ On some groups close to nilpotent groups. ⋮ On the pronormality of second maximal subgroups in finite groups with socle \(L_2(q)\)

Cites Work

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• Normal complements of nilpotent self-normalizing subgroups
• A note on subnormal and abnormal chains
• Criteria for subnormality in finite groups.
• Nilpotent self-normalizing subgroups of soluble groups
• Das ``schiefe Produkt in der Gruppentheorie mit Anwendung auf die endlichen nichtkommutativen Gruppen mit lauter kommutativen echten Untergruppen und die Ordnungszahlen, zu denen nur kommutative Gruppen gehören
• Gruppen, in denen das Normalteilersein transitiv ist.
• Nilpotent Self-Normalizing Subgroups and System Normalizers
• Finite Soluble Groups with Pronormal System Normalizers
• A Criterion for Pronormality
• Finite Groups with Pro-Normal Subgroups
• On a Class of Finite Soluble Groups
• System Normalizers and Subnormalizers
• Endliche Gruppen I
• Finite Groups Which Admit An Automorphism With Few Orbits
• Normalizers of System Normalizers

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