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

• 作者: Jinke Hai Lele Zhao
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 561-568
• 页数: 8页
• 语种: 英文
• DOI: 10.1142/S1005386721000444

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 problem for integral group rings.