ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

doi:10.1016/S0252-9602(14)60049-7

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 790-796.doi: 10.1016/S0252-9602(14)60049-7

ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

海进科, 李正兴

School of Mathematics, Qingdao University, Qingdao 266071, China

收稿日期:2013-03-05 修回日期:2013-07-20 出版日期:2014-05-20 发布日期:2014-05-20
基金资助:
Supported by NSF of China (11171169) and the B.S. Foundation of Shandong Province (BS2012SF003).

ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

HAI Jin-Ke, LI Zheng-Xing

School of Mathematics, Qingdao University, Qingdao 266071, China

Received:2013-03-05 Revised:2013-07-20 Online:2014-05-20 Published:2014-05-20
Supported by:
Supported by NSF of China (11171169) and the B.S. Foundation of Shandong Province (BS2012SF003).

摘要/Abstract

摘要：

Let G be a finite group and Out_Col(G) the Coleman outer automorphism group of G(for the definition, see below). The question whether Out_Col(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 Out_Col(G) to be a p′-group are obtained. Our results generalize some well-known theorems.

关键词: Coleman automorphisms, Frattini subgroups, generalized Fitting subgroups

Abstract:

Key words: Coleman automorphisms, Frattini subgroups, generalized Fitting subgroups

中图分类号:

20E36

海进科, 李正兴. ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS[J]. 数学物理学报(英文版), 2014, 34(3): 790-796.

HAI Jin-Ke, LI Zheng-Xing. ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS[J]. Acta mathematica scientia,Series B, 2014, 34(3): 790-796.

ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS

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