Coleman Automorphisms of Semidirect Products of Abelian Groups by p-groups of Maximal Class
阿贝尔群与极大类p-群的半直积的Coleman自同构

Let G=A×P be the semidirect product of an abelian group A and a p-group P of maximal class, where P acts on A by leaving every cyclic subgroup of A invariant. It is shown that every Coleman automorphism of G is an inner automorphism. As an immediate consequence, we obtain that the normalizer property holds for such group G.