On automorphism groups of some finite groups. (English) Zbl 1215.20024
Summary: We show that if \(n>1\) is odd and has no divisor \(p^4\) for any prime \(p\), then there is no finite group \(G\) such that \(|\operatorname{Aut}(G)|=n\).
MSC:
| 20D45 | Automorphisms of abstract finite groups |
| 20F29 | Representations of groups as automorphism groups of algebraic systems |
| 20D60 | Arithmetic and combinatorial problems involving abstract finite groups |
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