The Normalizer Property for Integral Group Rings of Holomorphs of Finite Groups with Trivial Center

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作者
Jin Ke HAI [1 ]
Yi Xin ZHU [2 ]
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[1] College of Mathematics and Statistics, Qingdao University
[2] School of Mathematical Sciences, Capital Normal
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Let G=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.
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