%0 Journal Article
%T Coleman Automorphisms of Semidirect Products of Abelian Groups by p-groups of Maximal Class<br>阿贝尔群与极大类p-群的半直积的Coleman自同构
%A LI Zheng-Xing
%A HAI Jin-Ke
%A <br>李正兴
%A 海进科
%J 数学物理学报(A辑)
%D 2012
%I 
%X 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.
%K Integral group ringzz
%K Coleman automorphismzz
%K Normalizer propertyzz<br>整群环
%K Coleman自同构
%K 正规化子性质
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F0F9E0268D67B54517&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=A04F01817ECB9A48&eid=375BEEEA164CFE59&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0