A NOTE ON AUTOMORPHISMS OF FINITE p-GROUPS

DOI10.1017/S0004972712000214zbMath1264.20024MaRDI QIDQ4909986

Mohsen Ghoraishi

Publication date: 22 March 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesfinite \(p\)-groupsFrattini subgroupCamina pairsnoninner automorphismsautomorphisms of \(p\)-groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

ON NONINNER 2-AUTOMORPHISMS OF FINITE 2-GROUPS ⋮ Noninner automorphisms of order \(p\) for finite \(p\)-groups of restricted coclass ⋮ ON NONINNER AUTOMORPHISMS OF FINITE NONABELIAN -GROUPS ⋮ On noninner automorphisms of 2-generator finite p-groups

Cites Work

• A cohomological property of regular \(p\)-groups
• Some p-groups of Frobenius and extra-special type
• Noninner automorphisms of order \(p\) of finite \(p\)-groups
• 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
• Solved problems in the Kourovka Notebook
• Outer Automorphisms in Nilpotent p -Groups of Class 2
• On automorphisms of finite p-groups

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