JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 109-112.doi: 10.6040/j.issn.1671-9352.0.2018.673

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Coleman automorphisms of extensions of the finite groups by some groups

ZHAO Le-le, HAI Jin-ke*   

  1. College of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Published:2019-10-12

Abstract: Let G be an extension of a finite characteristically simple group by a finite abelian group or a finite non-abelian simple group. It is shown that under some conditions all Coleman automorphism of G is an inner automorphism.

Key words: characteristically simple group, Coleman automorphism, inner automorphism

CLC Number: 

  • O152.6
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[1] . On Coleman automorphisms of finite inner nilpotent groups and Frobenius groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 4-6.
[2] HAI Jin-ke, WANG Wei, HE Wei-ping. A note on Coleman automorphisms of finite groups [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(4): 35-38.
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