On Inner Automorphisms of Finite Groups

DOI10.2307/2047378zbMath0675.20015OpenAlexW4237349735MaRDI QIDQ3829713

Martin R. Pettet

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047378

zbMATH Keywords

inner automorphismsextendibility propertynilpotent \(\pi \) -groupssolvable \(\pi \) -groupsspecial p-subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36)

Related Items (5)

The extension property in a category of torsion modules over a unique factorization domain ⋮ Inner automorphisms of presheaves of groups ⋮ Unnamed Item ⋮ Automorphisms of Torsion-Free Nilpotent Groups of Class Two ⋮ Characterizing inner automorphisms of groups

Cites Work

• The occurrence of groups as automorphisms of nilpotent p-groups
• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• A Characterization of Inner Automorphisms

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