On the Nilpotency and Solubility of the Central Automorphism Group of a Finite Group

DOI10.1142/S1005386708000473zbMath1182.20031MaRDI QIDQ3527465

Ali-Reza Jamali, Mir-Heidar Jafari

Publication date: 29 September 2008

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

finite groupscentral automorphism groupscentral automorphisms

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Die Gruppe der zentralen Automorphismen einer Gruppe mit Hauptreihe
• CENTRAL AUTOMORPHISMS THAT ARE ALMOST INNER
• Central automorphisms of finite groups
• On the Occurrence of Some Finite Groups in the Central Automorphism Group of Finite Groups
• Elementary Abelianp-Groups as Central Automorphism Groups
• Finite Groups with Central Automorphism Group of Minimal Order

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