On noninner automorphisms of 2-generator finite p-groups

DOI10.1080/00927872.2016.1243247zbMath1377.20017OpenAlexW2540533508MaRDI QIDQ4978421

Alireza Abdollahi, Mohsen Ghoraishi

Publication date: 10 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1243247

zbMATH Keywords

\(p\)-groupnon-inner automorphism

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

On noninner automorphisms of finite p-groups that fix the Frattini subgroup elementwise ⋮ Noninner automorphisms of order \(p\) for finite \(p\)-groups of restricted coclass ⋮ On noninner automorphisms of finite $p$-groups that fix the center elementwise ⋮ Finite \(p\)-groups with non-cyclic center have a non-inner automorphism of order \(p\) ⋮ A note on the existence of noninner automorphisms of order p in some finite p-groups

Cites Work

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• Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\).
• Non-inner automorphisms of order \(p\) in finite \(p\)-groups of coclass 3
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS
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• ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS
• Outer Automorphisms in Nilpotent p -Groups of Class 2
• ON NONINNER AUTOMORPHISMS OF FINITE NONABELIAN -GROUPS

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