Solution of Curran’s conjectures. (Chinese. English summary) Zbl 0845.20016
Summary: We obtain the minimal order of a \(p\)-group (\(p>2\)) that occurs as the automorphism group of a finite group and completely solve three conjectures on the minimal order which were given by Curran in 1989.
MSC:
| 20D45 | Automorphisms of abstract finite groups |
| 20D15 | Finite nilpotent groups, \(p\)-groups |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
