On normalizers of Sylow subgroups in finite groups
The authors prove the following theorem: If, for every prime \(p\), the normalizer of each Sylow \(p\)-subgroup of a group \(G\) is a \(p\)-nilpotent group then \(G\) is a nilpotent group. This theorem generalizes a theorem of \textit{I.~P.~Doktorov} [Mat. Zametki 24, No. 2, 149-159 (1978; Zbl 0428.20015)].
scientific article; zbMATH DE number 1432163