JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 35-38.doi: 10.6040/j.issn.1671-9352.0.2015.587

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A note on Coleman automorphisms of finite groups

HAI Jin-ke, WANG Wei, HE Wei-ping   

  1. College of Mathematics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2014-12-25 Online:2016-04-20 Published:2016-04-08

Abstract: Let K be a normal subgroup of a finite group G and K be a non-abelian simple group. If G/K is a abelian group or a non-abelian simple group. It is shown that every Coleman automorphism of G is an inner automorphism, that is, OutCol(G)=1. In particular, the normalizer property holds for G.

Key words: non-abelian simple groups, the normalizer problem, Coleman automorphisms

CLC Number: 

  • O152.6
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