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ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS
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摘要 Let G be a finite group and Outcoz（G） the Coleman outer automorphism group of G（for the definition, see below）. The question whether Outcol（G） is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime. In this article, some sufficient conditions for OutCol（G） to be a p＇-group are obtained. Our results generalize some well-known theorems. Let G be a finite group and Outcoz（G） the Coleman outer automorphism group of G（for the definition, see below）. The question whether Outcol（G） is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime. In this article, some sufficient conditions for OutCol（G） to be a p＇-group are obtained. Our results generalize some well-known theorems.
作者 海进科 李正兴
机构地区 School of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期790-796,共7页 数学物理学报（B辑英文版）
基金 Supported by NSF of China(11171169) the B.S.Foundation of Shandong Province(BS2012SF003)
关键词 Coleman automorphisms Frattini subgroups generalized Fitting subgroups Coleman automorphisms Frattini subgroups generalized Fitting subgroups
分类号 O152 [理学—基础数学]
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Acta Mathematica Scientia
2014年 第3期

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