Automorphisms and normal subgroups of linear groups.
An automorphism of prime order \(p\) of a finite group \(G\) is called `coprime' if \(p\) does not divide the order of \(G\). Assume now that \(G\) admits a faithful irreducible complex character of degree \(n\) which is invariant under such an automorphism. Then there are some relations between \(p,n\), and the structure of Sylow subgroups of \(G\).
scientific article; zbMATH DE number 5319852