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5. Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups

Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups

来源 :代数集刊（英文版） | 被引量 : 0次 | 上传用户：fox_pop

【摘 要】

：

Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms arises from the study of the normalizer

【作 者】

：

Jinke Hai Lele Zhao 

【机 构】

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College of Mathematics and Statistics,Qingdao University Qingdao,Shandong 266071,China

【出 处】

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代数集刊（英文版）

【发表日期】

：

2021年4期

【关键词】

：

characteristically simple group Coleman automorphism normalizer property 

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Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms arises from the study of the normalizer problem for integral group rings.

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