On the conjugacy of nilpotent injectors in finite groups.

DOI10.1007/S00013-013-0517-0zbMath1282.20017OpenAlexW2104517324MaRDI QIDQ354692

Anni Neumann

Publication date: 19 July 2013

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

Full work available at URL: https://doi.org/10.1007/s00013-013-0517-0

zbMATH Keywords

finite groupsconjugacysubnormal subgroupsmaximal nilpotent subgroupsnilpotent injectors

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Examples of abelian surfaces failing the local-global principle for isogenies

Cites Work

• Nilpotent injectors in alternating groups
• On \(B\)-injectors of the covering groups of \(A_n\).
• Fitting classes \({\mathcal F}\) such that all finite groups have \({\mathcal F}\)-injectors
• Nilpotent injectors in symmetric groups
• Nilpotent injectors in finite groups all of whose local subgroups are \(\mathcal N\)-constrained
• Nilpotent injectors in general linear groups
• Injektoren endlicher auflösbarer Gruppen
• Injectors and normal subgroups of finite groups
• Symmetric monoidal comonads and differential algebra
• On the B-injectors of sporadic groups
• More on b-injectors of sporadic groups⁺
• On the B-Injectors of Groups with Components of Small Rank
• Nilpotent injectors in finite groups
• Nilpotent injectors in finite groups

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