Finite $2$-groups of class $2$ with a specific automorphism group

DOI10.22108/ijgt.2017.20362zbMath1446.20033OpenAlexW2963808493MaRDI QIDQ5124020

Marzieh Ahmadi, Mohsen Ghoraishi

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/d70027b9b56f41268a45cc9daafc6080

zbMATH Keywords

Frattini subgroupnon-inner automorphismfinite \(p\)-group of class 2

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Automorphism groups of groups (20F28) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• On finite \(p\)-groups with cyclic commutator subgroup
• Powerful \(p\)-groups have non-inner automorphisms of order \(p\) and some cohomology.
• Finite \(p\)-groups of class 2 have noninner automorphisms of order \(p\).
• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS
• Noninner automorphisms of order p for finite p-groups of coclass 2
• Outer Automorphisms in Nilpotent p -Groups of Class 2
• ON NONINNER AUTOMORPHISMS OF FINITE NONABELIAN -GROUPS

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