an:07189508
Zbl 07189508
Hai, Jin Ke; Zhu, Yi Xin
The normalizer property for integral group rings of holomorphs of finite groups with trivial center
EN
Acta Math. Sin., Engl. Ser. 36, No. 4, 401-406 (2020).
00448440
2020
j
20C05 16S34 20C10
Coleman automorphisms; characteristically simple group; normalizer property
Summary: Let \(G = \text{Hol}(H)\) be the holomorph of a finite group \(H\). If there is a prime \(q\) dividing \(| H |\) such that every \(q\)-central automorphism of \(H\) is inner and \(Z(H) = 1\), then every Coleman automorphism of \(G\) is inner. In particular, the normalizer property holds for \(G\).