Acta mathematica scientia, Series B >
ON COLEMAN OUTER AUTOMORPHISM GROUPS OF FINITE GROUPS
Received date: 2013-03-05
Revised date: 2013-07-20
Online published: 2014-05-20
Supported by
Supported by NSF of China (11171169) and the B.S. Foundation of Shandong Province (BS2012SF003).
Let G be a finite group and OutCol(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.
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 . DOI: 10.1016/S0252-9602(14)60049-7
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